Since the liability belongs to the entity, not the owner of the entity, I would no pay, but I would be interested to hear from any California tax attorney if a non-operating entity has ever been sued after 12 years.
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My experience is that the FTB does not come after you, personally as long as you didn't file a tax return that shows income flowing to you the owner. If you did, I am surprised there has been no action at this point by them, other than sending the annual postcards.CA usually administratively dissolves the entity automatically after a few years. Most attorneys "unofficially" advise the "walk away" option. You can always incorporate or get a new LLC anytime. If you did receive any significant income from the LLC, there is a chance CA will come after you personally, but I am not so sure there hasn't already been a time limit for such action. I agree with my colleagues 12 years seems to me to be more enough time.
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It is probably better to not pay, as the FTB will probably not come after you personally since the taxes and fees are due by the LLC only .