WITH BASE IN vs. BASED IN + city name - are both correct?
What's the difference? If both are correct, which one sounds more natural to a native English speaker?

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Based in New York.  Sounds much better. Grammatically correct.
 
If you want to use "base in" you'd have to go for a different structure. With A base in NY. But this changes the meaning. It has ONE base in NY and bases in other places too.

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Hi!  To my ear, ´´based in New York`` sounds better.

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Is it better to put "... said THE results are very..." ?? (Without "that") is it more common and sound natural???