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ALBUQUERQUE, N.M. — New Mexico’s most populous city has made some progress to clear its backlog of untested rape kits as state public safety officials are close to erasing their own backlog.

An update from a Legislative Finance Committee shows the city of Albuquerque had tested 1,050 of 4,543 unprocessed sexual assault evidence kits as of the end of July.

The city has plans to clear the backlog by 2020.

A review in 2015 and 2016 by the Office of the State Auditor found there were 5,440 untested kits across the state, with nearly 75 percent of those in Albuquerque. That total gave New Mexico the unwelcome distinction of having more untested kits per capita than any other state.

Legislative analysts say the state Department of Public Safety is within 100 kits of completing its backlog of 1,388.