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Lenny rushes out of his hotel room in time to see Jared running through the stairwell door.


Is the use of present progressiv for the emboldened word unsual or OK in this sentence?

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It's fine.

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It's not the present progressive because there is no auxiliary verb.

Jared is running. This is the present progressive.

"to see X VERB-ing" is a catenative structure. It's normal for verbs of perception like 'see' and 'hear'.

CJ