(A) Notwithstanding section 145.03 of the Revised Code, any employee of the Hamilton county sheriff on July 1, 1981, who was in the employ of the city of Cincinnati in the Cincinnati correctional institute and who was a contributing member of the city of Cincinnati retirement system prior to that date may choose to be exempt from compulsory membership in the public employees retirement system and to continue contributing membership in the city of Cincinnati retirement system on and after that date by filing a written request for exemption from the public employees retirement system, which request shall bear the signature of the employee, with the public employees retirement board, provided that the:

1. (1) Board of commissioners of Hamilton county and authorized representatives of the city of Cincinnati retirement system adopt an agreement providing such employees with the option to continue contributing membership in that retirement system on and after July 1, 1981, upon compliance with this section;
2. (2) Employee files a request for his exemption within thirty days of the effective date of the agreement.