). On the other hand, in the case of [ Mind ], I feel some oddness in "I could exchange" because in this case the one who exchanges the shirt is not "I" but "you". No, I am exchanging, in the sense that I walk in with one shirt and walk out with another shirt.
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ChingyThe correct sentence of 'Mind I ...', I think, is 'Mind I exchange this shirt for a different one?'No, as Clive says above, it's "Do you mind if I [do something].
=> There isn't any auxiliaries coming after "I"
Hope this helps!