You made me curious, so I did some reading. As far as I understand, the measles does use a live attenuated virus, but the resulting infection is not (normally)

You made me curious, so I did some reading. As far as I understand, the measles does use a live attenuated virus, but the resulting infection is not (normally) persistent. However, the varicella vaccine (chickenpox) DOES use a live attenuated virus that causes persistent infection.