Real Estate Law
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I'm Lucy, and I'd be happy to answer your questions today.
Technically, the contract is invalid because you do not own the house. The best way to protect yourself would be to sign a new contract where it's the LLC agreeing to sell the property to the buyers. That allows you to keep the LLC's assets separate from your own, and then you could still wind up the LLC after the sale by using the proceeds to pay any debts and then distribute the assets to the owners.
One of the primary reasons people create LLCs is so they cannot be personally sued for LLC debts and the LLC cannot be sued for personal debts. Transferring assets back and forth at will between the LLC is the fastest way to lose that protection. So you could run into problems by just quit-claiming the property to yourselves as individuals if you're not planning to buy it from the LLC.
It could resolve the situation, yes. I just wanted to let you know that it could also create other problems, since I don't have all the facts of your situation. If you have no creditors and no one else trying to buy the house from the LLC or lay a claim to it, you likely will not have any problems.