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You're asking the wrong question. For a cat back you need to know which suspension setup you have, IRS (Independent Rear Suspension) or live axle. What model is your VP? If it's a Calais or SS it will have IRS, otherwise probably not. Take a photo under the car of the diff area and post it up, we'll be able to tell you which setup you have.
LSD stands for Limited Slip Differential, and this can be applied to either suspension setup without changing anything in the suspension itself. Whether your car has an LSD has NO BEARING on which exhaust system you need.
Sam