On or before August 10 of each year following the final determination upon each charge, the clerk shall file with the county auditor a copy of the report prepared pursuant to Section 5473 with a statement endorsed on the report over his or her signature that the report has been finally adopted by the legislative body of the entity and the county auditor shall enter the amounts of the charges against the respective lots or parcels of land as they appear on the current assessment roll. Where any of the parcels are outside the boundaries of the entity they shall be added to the assessment roll of the entity for the purpose of collecting the charges. If the property is not described on the roll, the county auditor may enter the description on the roll together with the
amounts of the charges, as shown in the report.