It shall be the general duty of the county clerk:

(1) To record in a book provided for that purpose all proceedings of the board. If the county clerk or his or her deputy is unable to be present for any proceeding of the board, the county clerk may appoint a designee to record such proceedings;

(2) To make regular entries of its resolutions and decisions in all questions concerning the raising of money;

(3) To countersign all warrants issued by the board and signed by its chairperson;

(4) To preserve and file all accounts acted upon by the board, with its action thereon, and perform such special duties as are required by law. Such special duties do not include budget-making duties performed under section 23-906. In a county having a county comptroller, all accounts acted upon by the board shall remain on file in the office of such comptroller; and the county clerk shall certify to the county treasurer as of June 30 and December 31 of each year the total amount of unpaid claims of the county; and

(5) To prepare and file with the county board the annual inventory statement of county personal property in his or her custody and possession, and to perform the duties enjoined upon him or her by sections 23-346 to 23-350.