You can unlock all the trophies in multiple playthroughs by restarting the mission or loading a save game.

Chasing a Ghost is the fourth mission in Hitman 2. The mission starts with Agent 47 being sent to Mumbai, India, to find The Maelstrom, assassinate him, and assassinate Vanya Shah and Dawood Rangan. After eliminating your targets, 10+ exit icons (many of which are locked; if you have the keys for doors and two coins for taxis, they will open) will appear and music will start playing.

These are the Objectives:

1. Find The Maelstrom (Wazir Kale).
2. Eliminate Wazir Kale.
3. Eliminate Vanya Shah.
4. Eliminate Dawood Rangan.

Controls

Instinct

To enter the instinct mode press, and you should see all NPC'S on the map.

• Guards are highlighted in bright white and gray (non-targets).
• Normal humans are highlighted in white and gray (non-targets).
• Targets are highlighted in red (they must be eliminated to complete the mission).
• Other NPC'S are highlighted in gray. (you can't interact with them and they are non-targets).

The Maelstrom 

Chasing a Ghost is different from other missions because the last target changes every mission replay (The Maelstrom). You'll need to find him. The most common appearance of the Maelstrom is a Pink/Red Shirt or a Green/Yellow Shirt.

For this Trophy, you need to complete the level on any difficulty.

Completing this level is a bit hard because you'll get lost quickly on the streets. Play on Casual/Professional because they aren't hard like Master since you have the following perks:

Casual Difficulty:

• Unlimited Saves.
• All Mission Story Guides are available.
• No surveillance cameras.
• Fewer Guards.
• Forgiving combat (fake surrender).
• More items are legal to carry.
• NPC's are less attentive to sounds. 

 Professional Difficulty:

• Unlimited Saves.
• All Mission Story Guides available.
• Surveillance cameras are active.
• Cameras alert guards if Illegal activities are spotted.
• Combat is challenging but fair.

This mission begins with a cutscene after the cutscene is over, You will arrive in the City. The Mission can be completed in any way you want, with mission stories, Challenges. 

Dawood Rangan will be at his tower (Rangan Tower). It has a construction site, so that's where you'll have to assassinate Kale and Rangan with the cement pipe. Jump through the fence where two "Minhatsu" yellow cars are parked. Infiltrate the tower or find a good disguise to enter there and eliminate this target in any way you want. It can be done with the "Gone in the Wind" Mission Story.

Vanya Shah will be in the Train Yard area, and you'll need to be disguised as a Green Guard (one/two areas will not be available in this disguise; the private area where Vanya Shah goes) or a White Guard (some areas are considered trespassing/hostile in the White disguise). You can eliminate her in any way you want, but you can complete "A Dress to Die For."

Wazir Kale will be your last target. He can be found in the city (47 doesn't know who he is, so you'll have to find him (the blue objective markers), identify all the people until you find him, or complete the "A Close Shave" Mission Story. You'll know who he is because he will say "The times are changing, my friend." He changes every mission replay, so you'll have to find him again and again. Whichever way you kill your targets, it will count for the trophy. Make sure to leave the mission; pick the closest exit that's near you.

Pirate Hunter Video Guide

Credit to Sijn for the video.

For this Trophy, you will need to Kill Kale and Shah with the train, Kale and Rangan with the cement pipe, and Rangan with the fan.

• To kill the Maelstrom and Vanya with the train, you need to kill Dawood in any way, so follow either "Gone with the Wind", "Picture Perfect", or the first part of "Broad Strokes" to kill him. After that, you want to go to the sniper assassin’s location in the chawls and subdue or kill him. Take his USB device and insert it into his computer (in a room, that's in the chawls) to activate an optional mission story. Go outside and call Vanya on a public phone (coins are needed). Vanya and the Maelstrom will meet at the train yard. You need to find a lever; you can find one near a blue motorbike, only a few meters away from an orange truck (on the left of the street behind you when facing the trains), or on the roof of the train yard. Pick it up and go back to the trains to find where you can place it. Wait until Vanya and the Maelstrom are talking inside and are in front of the door where the rails are. Activate the lever, and a train will kill them. You can also exit on the train (hold  when the option appears).
• To kill the Maelstrom and Dawood with the cement pipe, you need to kill Vanya in any way, so follow either "A Dress to Die For" or "A Matter of Discipline" to kill her. After that, go back to the sniper assassin’s location, subdue him, and pick up the USB and insert it into his computer to activate an optional story mission. Go outside and call Dawood on the public phone (coins are needed). Dawood and the Maelstrom will meet at the construction site after some time. Go to the construction site. You can lockpick the door, subdue the guy there, and enter the container that's near him (you can also open the door with the crowbar that's near a ledge). You can interact with the control panel that lets you move the cement pipe. Wait until Dawood and the Maelstrom are talking on the barge, place the pipe correctly above them, and release it with to kill them.
• To kill Dawood with the fan, follow the "Gone with the Wind" mission story.

Cleaning the Streets Video Guide

For this trophy, you’ll need to shave everybody with a beard (not everyone in the city, only those who come to the barber shop). The trophy description is a little misleading. Disguise as the barber that's upstairs in the barber shop. Open the shop and start shaving people. You need to shave 15 people. You can press  to end the shave faster. Don't press ! The Maelstrom will come here to get a shave. Don’t kill him before finishing the shave, or it won’t count and you’ll be stuck at 14. Shave him, let him go, and continue shaving other people.

Babyface Video Guide

Credit to UntilTammaro for the video.

Required for the trophy:

1. Gone with the Wind
2. A Dress to Die For
3. Broad Strokes
4. Picture Perfect
5. A Close Shave
6. A Matter of Discipline
7. Flames Rekindled

Optional (Secret Mission Stories):

These Mission Stories are not required for the trophy; they can be done by doing a specific action.

1. Contract: Dawood Rangan
2. Contract: Vanya Shah
3. Our Man in Mumbai
4. Homecoming

The video below provides a visual on how to get this trophy as well. 

Busy Schedule Video Guide

Select Master Difficulty from the beginning of the mission and finish the mission (you don't need the Silent Assassin rating for the trophy).

How does Master Difficulty affect the level?

• More guards are added.
• You get spotted faster.
• You can only save the game once!
• You die faster.
• Ruthless and demanding combat.
• NPC's are more attentive to sounds.
• No Mission Story guides are available.
• Bloody eliminations ruin disguises.
• Extra surveillance cameras.

 
Completing this mission on Master Difficulty is a bit hard, but you can complete it in any way you want. Watch out for the cameras and bodyguards, because you'll get a great score needed for  Keys to the City.

Street Smart Video Guide

Credit to UntilTammaro for the video.

Urban Planner Trophy Guide

Credit to Trophygamers for the video.

To reach Mastery Level 20 in Mumbai, you need to complete Challenges. If you complete all/some Challenges in this level, the trophy will also be unlocked.

When you finish the mission, you can check your score and if you completed some challenges, your character and your mastery level will level up.

Mastery Level	Type	Unlocks	Description
2	Starting Location	Train	47 arrives in Mumbai by train, starting outside Vanya Shah's train yard building dressed as a tourist.
2	Hidden Stash	Shoeshop	The ICA can conceal a small item in the local shoe shop.
2	Pistol	ICA19 Silverballer Mk II	A tactical pistol. Custom side with a suppressor. Low rate of fire, with high damage. This one has the signature Mk II look.
3	Starting Location	Laundry	47 has infiltrated the Mumbai Laundry business, dressed as a laundry worker.
3	Hidden Stash	Homeless Tent	The ICA can conceal a small item in one of the tents near the pier.
4	Starting Location	Boat	47 arrives in Mumbai by boat, starting by the waterfront dressed as a tourist.
5	Starting Location	Barge	47 has infiltrated the construction site near Rangan tower and starts on the nearby bridge, disguised as a local guard.
5	Hidden Stash	Streets On The Hill	The ICA can conceal a small item in a flower pot in the streets on the hill.
5	Hidden Stash	Meat Market	The ICA can conceal a small item in a pile of meat in the meat market.
5	Shotgun	Bartoli 12G Short H	A U.S. production pump-action shotgun. Produced for domestic and international markets.
6	Starting Location	Skywalk	47 has infiltrated the Mumbai slums, starting on a skywalk dressed as a tourist.
6	Hidden Stash	Washing Stalls	The ICA can conceal a small item in the Mumbai Laundry washing stalls.
6	Hidden Stash	Pottery Market	The ICA can conceal a small item in the pottery market on the main street.
7	Agency Pickup	Construction Site	The ICA can smuggle a briefcase containing a large item into a container on the Rangan Tower construction site.
7	Explosive	ICA Remote Explosive Mk II	A modular explosive device designed by the ICA. Detonated remotely. Highly suspicious if noticed. It also has the signature Mk II look.
8	Starting Location	Taxi	47 arrives in Mumbai by taxi, dressed as a tourist.
8	Hidden Stash	Old Tyre	The ICA can conceal a small item near the train tracks.
8	Hidden Stash	Beach	The ICA can conceal a small item in a dry-docked boat near the beach.
9	Starting Location	Chawls	47 has infiltrated an apartment in the local chawl and is dressed as a tourist.
9	Agency Pickup	Rooftop South	The ICA can smuggle a briefcase containing a large item onto a rooftop on the southern side of the slums.
10	Agency Pickup	Rooftop North	The ICA can smuggle a briefcase containing a large item onto a rooftop on the northern side of the slums.
10	Explosive	ICA Proximity Micro Explosive	A micro explosive device designed by the ICA. Detonated by proximity. Exercise caution when placing. Too small to notice.
11	Starting Location	Slums	47 has infiltrated the Mumbai slums, disguised as a food vendor.
11	Hidden Stash	Channel	The ICA can conceal a small item in a container in one of the slum channels.
12	Agency Pickup	Train Tracks	The ICA can smuggle a briefcase containing a large item to a hidden spot near the train tracks.
13	Starting Location	Metal Forge	47 has infiltrated one of the metal workshops in the slums, disguised as a metal worker.
13	Hidden Stash	Slum Apartment	The ICA can conceal a small item in an apartment in the north part of the slums.
13	Poison	Emetic Syringe Mk II	A syringe containing a single dose of an emetic poison. Any dosed individual will immediately become nauseous and seek a location to throw up. It also has the signature Mk II look.
14	Agency Pickup	Mumbai Laundry	The ICA can smuggle a briefcase containing a large item into the laundry area.
15	Agency Pickup	The Hill	The ICA can smuggle a briefcase containing a large item onto a platform on the northern side of the hill.
15	SMG	DAK X2 Covert	A one-handed suppressed machine gun. Lightweight, with an excellent rate of fire but low precision.
16	Starting Location	Photo Shoot	47 has managed to infiltrate Rangan Tower and starts as part of the photo shoot, designed as a dancer.
16	Hidden Stash	Balcony Pot	The ICA can conceal a small item in a balcony flowerpot in the chawls.
17	Starting Location	Hill	47 has infiltrated a local hill in the slums, dressed as a member of the Crows.
17	Hidden Stash	Rangan Tower	The ICA can conceal a small item in the penthouse of Rangan Tower.
18	Agency Pickup	Carpark	The ICA can smuggle a briefcase containing a large item into the car park in Rangan Tower.
19	Starting Location	Train Yard	47 has managed to infiltrate the Slum Queen's train yard and starts there, dressed as one of Shah's servants.
20	Agency Pickup	Train Yard	The ICA can smuggle a briefcase containing a large item onto a platform under the train yard roof.
20	Sniper Rifle	Druzhina 34	A modern long-distance sniper rifle. Very effective on all ranges, but has a slow firing rate.