If there is a city and county consolidation all rights, franchises and privileges granted by the city or county and all ordinances of the city effective at the date the combined municipal organization government becomes operative shall continue in full force and effect throughout the combined municipal organization until expiration, repeal, termination, amendment or modification, as authorized by law, and all prosecutions not already commenced for offenses committed before or after the county-city government becomes operative may be made in the name of the combined municipal organization in the proper court.