This particular example comes from a peer-reviewed publication with authors who seem to be native speakers:
This trend is both popular and has presented a variety of challenges
I wonder if this is grammatical?
If this sentence didn't have "both", we would parse it as follows:
This trend ((is popular) and (has presented a variety of challenges))
But with "both", what do we have?
This trend is both ((popular) and (has presented a variety of challenges))
but this gives us "is has presented", so this parsing is incorrect. Alternatively, we could try
This trend ((is both popular) and (has presented a variety of challenges)).
but then "both" goes inside the first coordinate. This is different from, say,
You and me both
where it's at the end.