"Archived" book are books that you've bought from Amazon, which are NOT currently installed on that particular device or Kindle App. When you go to the Archive and tap the book, it will download to the device, and then disappear from the Archive.
To manually add books to "Kindle for PC", either open them with Kindle for PC (ie right click and say "Open With..." in Windows Explorer) or simply copy the book into your "My Documents\My Kindle Content" folder.
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