You must add permissions for those users who need to be allowed access to items that have been archived from the journal mailbox.
Users can have the following different types of access to an archive:
Read: users can view and retrieve items from the archive. Those who need to search items archived from the journal mailbox, such as auditors, must have at least read access to the archive.
Delete: users can delete items from the archive.
Note that, even though you grant the delete permission here, a user cannot delete from the archive unless you also select Users can delete items from their archives on the General tab of Site Properties.