In all likelihood, they can't. First they would have to get a judgment, and it would distinguish whether the debt is sole and separate or community. Once that happens, a creditor can only attach your husband's sole and separate property or his portion of the marital community, but not your sole and separate assets.
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As a general rule, a creditor cannot attach your sole and separate property for a debt that is solely in the name of your spouse.
I am not a AZ attorney, laws vary from state to state, therefore you should always consult a local attorney.
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The creditor cannot attach your pre-marriage property. What they can do is get a judgment against him, attach his bank account and garnish his wages. Those things might have an impact on your household income.
I have also seen creditors name after married spouses who then have to hire a lawyer to get their name off of the law suit.
I would sugest that you or your husband talk with an attorney about resolving this debt. Many creditors will settle for much less than the balance given the right situation and the right attorney talking with the creditor. It might be a cost effective move. Talk with an attorney. Many firms, incuding mine, give brief free legal consultations.