| There is no debtors prison, and of course they don't want to discharge the money if they can get the court to agree, that is what your attorney fights for and lets the judge rule.
After that you work out a payment plan with the credit card companies, or let them sue you for a judgement,
Depending on your plan, it can be a couple of months to a year, it is all just depending on the exact terms of your plan. |