Real Estate Law
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He can't sell the house unless you agree to it.
All debts are considered marital debts (each of you are liable) because Ca. is a community property state. You can owe debts that you don't even know exist!!
In a divorce, the judge can assess debts to be paid by either one of you. However, the court order does not effect the lender/creditor's right to come after you for the debt. The court order allows you to recover any money you pay out on a debt from the other ex-spouse.
If the house was owned during the marriage and you paid money towards the debt, yes, you should be awarded an equity interest in the house.