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Permission issue can be seen for any writeback attributes in AD connect. If AD connect service account doesn't have writeback permission for any particular attribute, then it will throw permission error on AD connect export for on-premises AD connector. In the error you can click on permission error and you will be able to see different attributes and there changed value if there is any. You will have to find which is the attribute value which is trying to written back to on-premises AD. Depending on the writeback attribute you will have to set the writeback permissions to that particular attribute. You can follow below article to fix the issue that you are facing.
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