This thread is resolved. Here is a description of the problem and solution.
Problem: WHen I try to logout of Ultimate Member in a secondary language, the page just redirects to the logout page but doesn't log the user out.
Solution: Thanks for the additional information. I think I've got this fixed. I found that there are settings in Ultimate Member where you set the logout page. I then went to the admin texts and found the core page IDs in the um_options section. I added these to the String Translation table by adding the keys to WPML -> Translation Management -> Custom XML Configuration. I then translated the core page IDs to the ID of the translated pages. Now, when logged in in French, the Logout button logs you out.
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