In a few states, you must take an additional step to make your company official: You must publish a simple notice in a local newspaper, stating that you intend to form an LLC. You are required to publish the notice several times over a period of weeks and then submit an "affidavit of publication" to the LLC filing office. Your local newspaper should be able to help you with this filing.
The governing document of the LLC is called an operating agreement, and it is within this document that the members lay out all important provisions, such as standards for LLC governance, ownership parameters, and rules around member changes (adding or removing members, or what happens in case of death or incapacity of a member). The operating agreement is an internal document and is an agreement amongst the members or owners, which means it is not recorded with the state.
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.