The Clerk shall accept only nomination petitions which conform with the forms provided and maintained by him, and which, considered together, contain the required number of valid signatures for candidates having those qualifications required for the respective elective City offices by this Charter. When a petition is filed by persons other than the person whose name appears thereon as a candidate, it may be accepted only when accompanied by the written consent of the candidate. The Clerk shall forthwith, after determining that any candidate whose petitions do not meet the requirements as to validity and sufficiency according to this Charter and applicable State laws, notify said candidate of the invalidity and insufficiency of said petitions. Within seventy-two hours after the final time for filing nomination petitions, the Clerk shall notify all candidates, in writing, whose petitions are valid and sufficient. The names of the candidates who file valid and sufficient nomination petitions shall be certified by the Clerk to the Election Commission to be placed upon the ballot for the next subsequent regular City election or at the next special election for the filling of vacancies in office, as the case may be.