1.
to carry, to transport
To move something from one place to another by carrying or transporting it.
2.
to progress, to proceed
When used with abstract concepts, means for things to progress or proceed smoothly.
The plan isn't going as expected, and I'm having trouble.
Abstract usage meaning 'to progress'
TRANSITIVITY: 他動詞 (transitive). No pair verb. Pattern: Xを運ぶ (carry X).
ASPECT: ている indicates ongoing action. 運んでいる = 'is carrying.'
COMMON PATTERNS:
Godan verb - te-form: 運んで. Also means 'progress' figuratively.
Related: 運び (transport).