When using Twitter search to select between terms in a boolean "or" fashion, make sure you capitalize OR for it to work properly.
ukraine or ukrainian or russia or russian min_faves:10 WILL NOT do what you think it will (it actually treats or as matching the actual word).
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will want to instead use:
ukraine OR ukrainian OR russia OR russian min_faves:10
This will search tweets containing at least one of the four terms.
Also, make sure to select "latest" after running the search so that you can see the latest tweets as they come in.
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