N.H. Rev. Stat. § 349:2
Whenever any member of such partnership or association withdraws therefrom, the partnership or association shall, within 10 days, file in the office of the secretary of state a certificate signed by all members, including the withdrawing member, setting forth the fact of such withdrawal, together with the date thereof. Whenever a new member is added to such a partnership or association or joins a sole proprietorship holding a registered trade name, the new member and previous member or members shall, within 10 days, file in the office of the secretary of state a certificate signed by all members, including the new member, setting forth the facts of such addition, together with the date thereof. If any person, partnership or association to whom the provisions of this chapter apply shall cease to do business, a certificate setting forth such fact and the date of such discontinuance shall be filed with the secretary of state within 30 days thereafter. Such certificate shall be signed by the members of such partnership or association, or by any sole proprietor, or by his or their executors or administrators.
RSA 349:2
1919, 57:2, 3. PL 155 :2, 4. RL 186:2, 4. RSA 349:3, 5. 1955, 284:1 par. 2. 1985, 339:11. 1987, 393:9, eff. July 25, 1987.