If you’re moving the site/migrating stuff you best de-activate the license, copy/export all database tables with adrotate_ in the name via PHPMyAdmin. Also there are a bunch of records in wp_options with adrotate_ in the name, those are you settings.
Keep in mind that if the setup has been active for a while there may be a lot of stats which makes for a big export/import.
Once you’ve moved the database tables and settings you simply upload and activate the plugin on the new server/site and continue as normal.
Ofcourse doing things like this is at your own risk and should be done properly or the plugin will malfunction. Always have a backup or restore point should things break.