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Just to cover the basics, have you installed macOS Sierra on your Mac?
 
It works but it's super buggy, at least on my devices it is (6S Plus and a 2015 12" MacBook)
When I copy something on my Mac and try to paste on iPhone it'll show "pasting from remote device" and take 3-5 seconds to paste text or pictures. When I select and copy something from my iPhone and try to paste it on my Mac it takes 2-3 seconds to go through
 

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