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I am an experienced legal advisor and happy to answer your question.
From what you have described it is hard to imagine that you would be liable to refund the purchase based on misrepresentation.
Misrepresentation is the only thing that the buyer can argue.
I would hope that you provided a receipt which stated that the vehicle is purchased as seen and has been tried and tested. If not, it is not the end of the world.
You should check any correspondence with the buyer and the car sale advert to ensure that you have not misrepresented the vehicle, you are not liable if the vehicle breaks down after you have sold it.
I am happy to answer follow ups.
That is good that you have that evidence in the event they bring a claim. As long as there is no evidence of misrepresentation that it will likely be a he said she said situation but that is arguably insufficient given the burden of proof is on the buyer.
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