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How to get data deleted by a particular user group (e.g Site Managers)?
You can achive that by customized solution.
You need to create your own webscript where this logic would remain.
ArchivedNodePut.java - This webscript is used to restore file.
ArchivedNodesGet.java- This webscript is used to get deleted file.
You can combile both logic in your webscript.