Expediting rhymes with:
extraditing, extraditing, backbiting, bullfighting, extraditing, firefighting, gunfighting, handwriting, highlighting, infighting, moonlighting, screenwriting, scriptwriting, skywriting, songwriting, spotlighting, typewriting
Expediting sounds like:
egyptians, excavating, excavations, excepting, exceptions, exhibiting, exhibitions, expedience, expediency, expeditions