Sms backup & Restore
Backup all or an individual conversation or both can be save backup as a Text, html, pdf file & can be restore anytime again.
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Dean commented
There's an app called, coincidentally, SMS Backup & Restore which does just that. You can back up to Dropbox, OneDrive, Google Drive, and/or locally. It can be for SMS and/or MMS messages, as well as all or only specific contacts. It doesn't support RCS messages, but neither does Textra.