LP, Limited partnership: a partnership where at least one partner (the general partner, which may itself be an entity or an individual) has unlimited liability for the LP's debts and one or more partners (the limited partners) have limited liability (which means that they are not responsible for the LP's debts beyond the amount they agreed to invest). Limited partners generally do not participate in the management of the entity or its business.
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
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.