Displaying in contacts main view messages that were not read/answered by user

I experience a quite serious problem with the contacts table main view.  Namely I am not able to see the contacts who sent me emails, and which were not answered or read by me or other HS users. It is quite troublesome especially when I don't have  direct access to the user's inbox. I would be very grateful for adding a feature to contacts tab which would  solve this problem. 

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