Complex title? Nah. Just a Let's Listen (similar to an LP only different) of PW:AA:TaT.
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For those that are wondering what an LL is, it's where someone uploads the OST of a game, as a video (90% of the time, it's just the track and title screen, otherwise it becomes either an FMV, AMV or LP), onto a video hosting site.
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Playlist

Prologue
Unending Prelude
Court Begins
Cross-Examinations ~ Moderate 2004
Objection! 2004
Cross-Examination ~ Allegro 2004
Pursuit ~ Caught
Inform the Truth 2004
Pursuit ~ Caught (variation)
Distant Traces
The Fragrance of Dark Coffee
Can't Go Back to Those Days
Investigation ~ Opening 2004
Stolen Turnabout
Takabisha Department Store
Detention Centre ~ Elegy of the Detained
The Phantom Kanem Mask ~ Please Listen! 1
I Just Want Love
When Something Smells, It's Always Me 2
Recipe for Turnabout
Tres Bien
A Painful Declaration and War Song
Swinging Zenitora
Reminiscence ~ I Blame You
Turnabout Beginnings
Shadow on Dusky Bridge
Hazakurain
Gentle Melody
Investigation ~ Middle 2004
Bitter Taste of Truth
Reminiscence ~ Cornered 2004
Won the Case! Unending Victory
End
Ringtone - Godot

1 "Please Listen!" is part of the track name.
2 If it isn't obvious, the track title is a reference to Larry Butz.

I love the in game music, I liked the previous titles music better through.