Your map and feature services can access SDE data from ArcGIS Server. Essentially, ArcGIS Server sits between your web server and your database server. Can you provide the REST endpoint of your map service? I'm guessing that it's not publicly accessible and thus, ArcGIS Online can't see it. A simple test would be to take the URL and see if you can see it outside your organization, for example from home when not connected to your organization.Thanks,Mike
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