Within 1 week after the passage of any ordinance the same shall be published in some newspaper printed and circulated within the city, and the clerk shall immediately after such publication enter upon the record of ordinances, in a blank space to be left for such purpose under the recorded ordinance, a certificate stating in what newspaper and of what date such publication was made, and sign the same officially, and such certificate shall be prima facie evidence that legal publication of such ordinance has been made: Provided, however, That each city shall have power to adopt any plumbing code, electrical code, or building code which has been promulgated by the state of Michigan, or by any department, board, or other agency thereof, or by any organization or association which is organized and conducted for the purpose of developing any such code or codes by reference thereto in an adopting ordinance and without publishing any such code in full: Provided, That said code is clearly identified in said ordinance and that the purpose of said code shall be published with the adopting ordinance and that printed copies thereof are kept in the office of the city clerk, available for inspection by and distribution to the public at all times, and that the publication shall contain a notice to the effect that a complete copy of said code is available for public use and inspection at the office of the city clerk.