The city clerk or village clerk shall have the custody of all laws and ordinances and shall keep a correct journal of the proceedings of the city council of a city of the second class or village board of trustees. After the period of time specified by the State Records Administrator pursuant to the Records Management Act, the city clerk or village clerk may transfer such journal of the proceedings of the city council or village board of trustees to the State Archives of the Nebraska State Historical Society for permanent preservation. He or she shall also perform such other duties as may be required by the ordinances of the city or village. If the city clerk or village clerk is acting as the city treasurer or village treasurer, he or she shall also comply with the requirements of subsection (3) of section 17-606.