North Carolina a corporation must contain the word "corporation", "incorporated", "company", or "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd."; a limited liability company must contain the words "limited liability company" or the abbreviation "L.L.C." or "LLC", or the combination "ltd. liability co.", "limited liability co.", or "ltd. liability company"; a limited partnership that is not a limited liability limited partnership must contain the words "limited partnership", the abbreviation "L.P." or "LP", or the combination "ltd. partnership"; a limited liability limited partnership must contain the words "registered limited liability limited partnership" or "limited liability limited partnership" or the abbreviation "L.L.L.P.", "R.L.L.L.P.", "LLLP", or "RLLLP"; a registered limited liability partnership's name must contain the words "registered limited liability partnership" or "limited liability partnership" or the abbreviation "L.L.P.", "R.L.L.P.", "LLP" or "RLLP". North Carolina General Statutes § 55D‑20
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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.