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I've been married 25 years and have often "forged" my husbands signature, he was well aware when I did it thus making it not illegal.
Did you know she signed for you? Was it without your consent? If so did you file a police report?
The fact you were married at the time and it was a rental agreement may mean it's a community property debt depending on the state.
Was this debt covered under the divorce? As "her" debt?
How long ago did this signing/forgery occur? If it's been several years, they will likely question it being claimed a forgery this long after..
All of that said; are you in a position to pay the debt?
You could attempt to dispute it with the CB's if you're honestly not responsible for it.
I'm sure others will be along with helpful advice soon.
CHEERS