These states may use paper ballots and scanners, or an electronic voting machine equipped with a device that produces a paper receipt that a voter verifies before they cast their ballot. Some states may not have had the funding to replace voting equipment in recent years, so, in practice, may have machines without a paper trail.
These states have voters mark a paper ballot by hand and then run that ballot through an optical scanner to tabulate the votes.
These states do not necessarily require the paper record to be voter verifiable and, in some places, this has been interpreted to allow electronic voting machines to be used that do not have a voter-verified paper trail.
Louisiana went through the process of selecting new equipment with a paper trail in 2018 but ran into funding problems.