I will assume you have Lightroom Classic, probably version 9.2 You do not log in and out thru Lightroom Classic. You sign in thru the Adobe Creative Cloud Desktop App. The app you use to install Lightroom Classic, Photoshop, etc. The app you use to update them. Sign in to the Adobe Creative Cloud Desktop App, and do not (normally) sign out. If you sign out, then the programs like Lightroom Classic get deactivated locally. Note, as long as your computer occasonaly checks in with Adobe, about once every 90 days, it is not important to have internet access, even though you are in a signed in status. Just do not sign out.
... View more