You can continue operating the business while you are in a personal Chapter 7. Your shares in the business are an asset of the bankruptcy estate and can be used by the trustee if he deems they have value. The good news is they have no value without you and trustee will probably abandon them.
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You may have personally guaranteed some or all of the debts of the Corporation. If so, you must list these debts in your petition. The Corporation will not be discharged as to any debts. You may wish to consult your attorney on this issue.
Some attorneys advise the you list all creditors of the business just in case there is a personal guarantee. Regardless, you need an asset and liability statement for the business as well as profit and loss statements. The question is what is the business worth if your shares were liquidated. You also need to know what limitations there are on liquidation because it is a closely held business. Usually, these types of businesses have major limits on transferability leading to the value being close to zero.
[This communication is intended as general information and not specific legal advice, and this communication does not create an attorney-client relationship.]