progress; pace; course of events
Refers to how work, plans, or events proceed, including their pace or course. Often used in somewhat formal or written contexts compared with plain 進み.
The two of them have reached the point of getting married next month.
The work is progressing faster than expected.
We will check in advance how the meeting will proceed.
Used for the manner in which feet, a brush, or similar things move; common in set-like phrases such as 足の運び and 筆の運び.
The dancer's footwork is very beautiful.
This calligrapher's brush movement is smooth.
stage reached; course leading to; arrangement to do
Formal suffix-like use in announcements and reports, especially 〜する運びとなる, meaning that matters have developed to the point where something will happen.
It has been arranged that we will open a new store next month.
His footwork is light and quick.
The brushwork in this painting is smooth.
I was surprised at how quickly the negotiations progressed.
He handles his work skillfully.
進捗 is a formal, business-like word for measurable progress on a project, whereas 運び is broader and can describe pace, procedure, or stage reached.
進み is the plain, everyday word for how something is advancing, while 運び carries a more formal or literary tone for the same idea.
carrying; portability
carry out; transport out; take out
carry in; bring in
gait; manner of walking; footwork · low-center-of-gravity movement
courier; smuggler; trafficker
Standard kanji spelling for this noun form of 運ぶ; used for progress, procedure, movement, and the formal expression 〜の運びとなる.
A nominalized form of the verb 運ぶ（はこぶ）, whose meanings include carrying and proceeding. The noun 運び extends the idea of movement to the progress or course of events.
carry in; bring in