North carolina constitution
Article IV
Section 19

Unless otherwise provided in this Article, all vacancies occurring in the offices provided for by this Article shall be filled by appointment of the Governor, and the appointees shall hold their places until the next election for members of the General Assembly that is held more than 60 days after the vacancy occurs, when elections shall be held to fill the offices. When the unexpired term of any of the offices named in this Article of the Constitution in which a vacancy has occurred, and in which it is herein provided that the Governor shall fill the vacancy, expires on the first day of January succeeding the next election for members of the General Assembly, the Governor shall appoint to fill that vacancy for the unexpired term of the office. If any person elected or appointed to any of these offices shall fail to qualify, the office shall be appointed to, held and filled as provided in case of vacancies occurring therein. All incumbents of these offices shall hold until their successors are qualified.