(B) A member of the police force of a township police district created under section 505.48 of the Revised Code or of a joint police district created under section 505.482 of the Revised Code, and a township constable appointed pursuant to section 509.01 of the Revised Code, who has received a certificate from the Ohio peace officer training commission under section 109.75 of the Revised Code, shall exercise the power to make arrests for violations of those sections listed in division (A) of this section, other than sections 4513.33 and 4513.34 of the Revised Code, as follows:

1. (1) If the population of the township that created the township or joint police district served by the member's police force or the township that is served by the township constable is fifty thousand or less, the member or constable shall exercise that power on those portions of all state highways, except those highways included as part of the interstate system, as defined in section 5516.01 of the Revised Code, that are located within the township or joint police district, in the case of a member of a township or joint police district police force, or within the unincorporated territory of the township, in the case of a township constable;
2. (2) If the population of the township that created the township or joint police district served by the member's police force or the township that is served by the township constable is greater than fifty thousand, the member or constable shall exercise that power on those portions of all state highways and highways included as part of the interstate highway system, as defined in section 5516.01 of the Revised Code, that are located within the township or joint police district, in the case of a member of a township or joint police district police force, or within the unincorporated territory of the township, in the case of a township constable.