In divorce, the debt will follow the asset, especially in secured debt items, such as vehicles. The Courts will sometimes order a party to make every effort to refinance a loan, but if they can't, they can't. Regardless of whether he is ordered to pay the liabilities, the lender will usually not remove one person's name of the loan was taken on both names. If he fails to pay, they will repossess, but it will go against your credit as well and both of you could be sued for the additional balance owed after sale as auction.
There are a few alternatives I have seen. You could be awarded both vehicles and you could turn around and sell his. He would need to purchase one in his name. This would most likely be only by agreement because a court would most likely not award both vehicles to you.
Another more common alternative would be to award the vehicle to both of you until paid in full and debt to him with a provision that if he is delinquent, you have the right to take the vehicle and the debt before it is repossessed. Once paid, the vehicle becomes solely his. The language for this is a little tricky, but we have done it in situations such as yours.
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