Can I back up my legally purchased DVDs?

I might add in some cases… legally purchased more than once, because some of the original DVDs went bad.

Short answer… YES! I’m summarizing what I read here https://thetechylife.com/can-i-legally-backup-my-dvds/

Under fair use, individuals may be able to make personal backups of their DVDs for archiving or convenience purposes. However, it’s important to note that fair use is a subjective concept and can vary from one jurisdiction to another.

However the DMCA also has their say concerning encryption…

While the DMCA prohibits the breaking of encryption for unauthorized purposes, it does allow individuals to make personal backup copies of DVDs they own. This means that as long as you’re creating a copy for personal use and not for distribution or commercial purposes, you are within your rights. It’s worth noting that this exemption does not apply to rented or borrowed DVDs; it strictly pertains to DVDs that you legally own.