With the proper planning, limited liability companies can exist for generations. S-Corps continue to exist even if the owners or majority shareholders leave or pass away. C-Corps continue to exist even if the owners or majority shareholders leave or pass away. Non-Profit organizations and institutions survive after their directors leave. Sole Proprietorships do not exist when the owner quits or passes away.
Louisiana (except for railroad, telegraph and telephone corporations) "Corporation", "Incorporated" or "Limited", or the abbreviation of any of those words, or may contain instead the word "Company" or the abbreviation "Co." if the latter word or abbreviation is not immediately preceded by the word "and" or the symbol "&". No corporate name shall contain the phrase "doing business as" or the abbreviation "d/b/a". Only a bank or bank holding company is allowed to use any of "bank", "banker", "banking", "savings", "safe deposit", "trust", "trustee", "building and loan", "homestead", "credit union", "insurance", "casualty", "redevelopment corporation", or "electric cooperative". § 12:23 Louisiana Revised Statutes
While limited liability companies have less compliance requirements than other entity types, there are reports and licenses that need to be filed and maintained. S-Corps usually will need to file reports and pay compliance fees on an annual or semi-annual basis. C-Corps generally must file reports with their state, as well as a host of other regulatory and compliance fees. Non-Profits have more compliance responsibilities than other entities as they must continually preserve their tax-exempt status. Sole Proprietors do not have ongoing compliance fees.
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.