Good morning. No, a silent member of an LLC does not need to be listed on the bank account. In fact, it is the norm that such members are not listed. Rather, it's only the managing member(s) that are actually involved in the operations of the LLC that are listed as signatories on the account. The bank will only need be provided an Operating Agreement and/or Resolution for the LLC that authorizes the member(s) that will be the signatories to do so.
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The information given here is not legal advice. As all states have different intricacies in their laws, the information given is general only. This communication does not establish an attorney-client relationship with you. I hope this answer has been helpful to you.