Purge user action can have the following results in Adobe Learning Manager. - eLearning
Briefly

If a user is purged, the links in import logs do not work to avoid the download of old CSVs and bringing back the user data again into the system.
Purging a user in Learning Manager does not remove the user from any external applications (third-party systems or other applications written by you). Contact external application owners to get the users removed from such applications.
If a purged user is referred to in the configuration settings of a connector, the connector is disabled. The Admin needs to reconfigure the connector to resume.
Read at eLearning
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