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I would send them an email instead of waiting. You don't want to get in tangled in a nasty lawsuit. Might be worth while posting this on Avvo or a similar website.
This has to do more with the car dealership than Amex
2 months and they haven't contacted you about returning the car?
What exactly did Amex tell you was the outcome of the dispute? I'd start with contacting them for any remaining details -- it seems highly likely that if you contact the dealership first they're going to jerk you around some more. They sound shady.
A car belongs to whomever it is titled to. So, the OP does in fact own the car.
If the used car dealer wasn't such a fraud, they wouldn't have lost out in the dispute.
The right thing to do, would be to return the car, in lieu of receiving a dealer statement and letter stating the deal has been completely unwound, and monies refunded. Naturally, an attorney for the OP should review.
However, knowing bad actors... it's unlikely that such a shady dealer will agree to anything.
Furthermore, in the real world... giving the car back might leave the OP without the car - and still a lawsuit.
This is just part an parcel of capitalism, regulating itself. Oftentimes, someone has to lose out in a contractual dispute. The recourse for the party that loses out is a court of law. - Which, I don't think the dealer would have a very strong case, other than to - at best - have the car returned.
In light of this, I would keep the car and force the courts to resolve. Ideally, the car would be returned through a settlement negotiated by an attorney. If the dealer keeps acting in bad faith... oh well, their loss. In this case, rightfully so.
Also, regarding credit reporting; your obligation was to AMEX, which has been satisfied.
There is no basis whatsoever for the dealer to obtain a collection, as you never had a loan with the dealer. If you ever see a bogus collection, you simply forward to the credit bureau the AMEX paperwork declaring the dispute resolved.
In my opinion, a few thousand dollars is the small price for a dealer to pay for deliberately lying about the condition of known lemon. Further, messing with an odometer is straight up fraud. A dealer that perpetrates such fraud stands to lose a lot more than a few thousand dollars. How about their license to do business, full stop?
They probably perpetrate fraud on consumers so often, that they just consider it a cost of doing business.
Knowing that contractual disputes won't always go one way... we have to take our victories where we can get them.
The way our society works is oftentimes considered to be backwards. The right thing to do is often not legally advisable, as consumers invariably end up losing out when trying to do the right thing.
When one is in the driver's seat... one must play the cards as they have been dealt.
Therefore, continue to press your advantage - and your moral high ground - to either renegotiate the deal, equivalent to the actual condition of the product; or, endeavor to obtain settlement documents totally unwinding the situation.