How can I get the 2 joint debts resolved?

Typically, assets and debts are addressed at the same time. There is no jurisdiction in family law to reassign liability for debts. On settlement, it is strongly advised to remove your name from the debt or assume the debt upon receipt of money payment from the other party, but in any event severe the financial responsibility for the debts. This was not done in this situation. You should have made great effort to ensure that all aspects of your financial affairs were unwound. To remove your name, you need to ensure that the other party may qualify to take over the debt on his own and also determine an amount to be paid in satisfaction of him doing so concurrently if he were to take over the debt and your name removed. You may include the terms relating to the settlement into a divorce order, although that is not necessary.