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In most situations when a business is sold you purchase all of their assets as well as debts. If they have not reported, I would work with the collection agency to settle out before they start reporting on your credit, because at that point it gets more complicated to get it removed.
I agree.
Since the debt is legit, I would recommend sending them a pay for not reporitng offer.
Agree with the others. Try to work out a deal to pay to not report, but make sure you have the $$$ ready to seal the deal once you start talking with them otherwise you may just cause them to start reporting. It is highly likely the debt was sold off separately or as part of the liquidation. That's usually a part of the process. That being said, the new "owner" of the debt, may have paid less for it so you may have some room to negotiate.