Every tax collector, at the expiration of his term of office, shall file with the clerk of the board of supervisors of the county, on the first Monday of January, a list of all the uncollected taxes for the current fiscal year, which shall show the name of every person owing taxes, the amount of personalty assessed thereto and the description, section, township, range, and assessed valuation of realty assessed thereto. Said list shall be copied from the real and personal assessment rolls in the order that the assessments occur thereon. The board of supervisors and the county auditor shall carefully examine said list, comparing it with all records pertaining thereto, and allow the retiring tax collector credit for all taxes on so much of said list as they find to be truly and correctly uncollected, and the board shall charge the succeeding tax collector with all taxes so found to be uncollected. Such succeeding tax collector shall proceed to collect them as required by law; and the change in the office shall not in any manner affect the collection of any taxes or the advertisement or sale of any property for taxes; but all books, papers, receipts, assessment rolls, and other documents pertaining to the office of tax collector, and all personal property seized for taxes, shall be delivered by the retiring tax collector to his successor without delay. Sales of real and personal property shall be made by the tax collector in office at the time of the sale.