AUGUSTA — Maine lawmakers have killed a bill to allow towns without police departments to increase the distance between schools and the homes of registered sex offenders.

The 93-56 House vote Tuesday followed last week’s Senate rejection of the bill. It would have expanded the allowed distance between sex offenders’ addresses and schools from 750 to 2,500 feet.

Opponents said the Legislature has already dealt with the issue and that passing a law would create a false sense of security.