First, ask why they would need to update their personal database when the changes are shared in the Master.
Consider the Master like a web site. Everyone is sharing the changes visually but they keep their own data about the web site content locally (See the next paragraph about keeping some Master content local.). So there would be no real need to update the Personal database with all the changes since this will be visible in the Master. Or maybe consider the Master like a library book. You don’t write in the library book. You keep your own notes in your notebook (and photocopy some pages for inclusion (am I dating myself? ). Make sense?
Could data be duplicated to the Personal DB? Sure, but the User MUST BE diligent that it’s NOT a Move but a COPY. Reread the library comment above.
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It is an easy enough thing to open a window with the Master and a window with a Personal database (minimizing, etc. when space requires it).
A Smart Group could be easily created to show documents created Today, yesterday, etc. (By the way, would you have a need for more granular date searching as I suggest here: Dates for Smart Groups and Searching).