If the debt is owed by the LLC and you did not sign a promissory note or mortgage individually then it would appear that you have no personal liability.
Hope this helps.
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Normally, the property taxes become a lien against the property and do not create personal liability. Check with a real estate attorney in your area to make sure this is the case.
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You may be putting your personal credit rating at risk by doing this. As Mr. Fromm indicated, if there's a mortgage on the property, you are probably personally liable for the loan.
Before you do something foolish, talk to an attorney about your options.
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