RayH“I think you will find that many prepositions are used in idiomatic ways that defy etymological or even logical explanation. As far as I know they simply have to be memorized.
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Exactly!
I think you will most likely not find a list of "up" expressions, so each needs to be learned as an individual vocabulary item. You might start a list of your own that you can review from time to time.
mix up, add up, join up, dig up, are a few that come to mind as I write this. {just thought of "write" up}.
By the way. Many bi-lingual dictionaries will list these under the heading of the verb itself, but don't look for them in strictly English dictionaries.