If you haven't already, try this:
1) Make a time selection of the bars you want to export in the arrangement or the MIDI Editor
2) Go to the Main Menu: File > Export Project MIDI and ...
3) ... select Time selection only there
Or this:
1) Split the MIDI Item and use Item > Glue Items afterwards on the part you want to export
2) Then using the MIDI Editor menu: File > Export to new MIDI File ... should also work
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