The Secretary of the Senate, in the case of Members and Members-elect of the Senate, and the Chief Clerk of the Assembly, in the case of Members and Members-elect of the Assembly, shall, prior to the convening of any session of the Legislature, order the printing of all legislative bills and constitutional amendments which have been approved for printing by the Committee on Rules of the Senate, upon the request of Members and Members-elect of the Senate, or the Committee on Rules of the Assembly, upon the request of Members and Members-elect of the Assembly; provided, that such approval shall not be required as to requests for the printing of bills where such requests are made after the general election by members or members-elect who certify in writing that they intend to introduce such bills at the convening of the session. They shall be printed by the State Printing Office, and the cost paid out of the appropriation for legislative printing.