You cannot be held liable for debt that the court classifies as non-marital i.e. debt accumulated by one party solely. However, when it comes to marital debt, the court distributes it between both of you. If your ex fails to meet the terms of their obligation, the creditors may go after you. Also, if your ex proceeds to declare bankruptcy, you may end up being the sole debtor liable for all marital debt. To avoid such scenarios, consult with a family law attorney.