If a car I sold was in accident but I did not know that, what is my responsibility regarding the sale?

Question Details:

I sold a car 5 months ago and now the buyer wants me to purchase the car back. I always guessed that the frame could have some damage. I never got it looked at by a professional. The purchaser supposedly had it inspected and says that it has frame damage and was in 2 accidents. I did not know this as I did not get a car history report on the car and neither did they when purchasing the car. They now want me to buy the car back or give them money to cover the repairs. They told me in my state you do not need a bill of sale so we never signed bills of sale. They are still in contract owing me payments.

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