run in

noun

Alternative form of run-in (adjective) (styled open when in predicative position)
“These headings are run in because a free-hanging style would just be a waste of column inches.”
“One of the best headings for saving space is the heading that is run in.”
Alternative form of run-in (adjective) (styled open when in predicative position)
“The engine should be well run in before its heavy working life begins.”
“Behaviour patterns now thoroughly "run in", and financial stringencies, appear to impose sharp limits on the prospects of success here.”

Alternative spelling of run-in (omitting the hyphens from nouns of this type is nonstandard in formal publications but widely seen in unedited writing)

To arrest; (especially) to track down and arrest.
“The guys who robbed the bank last week have finally been run in.”
To use new machinery at less than full speed, preventing damage.
“I have to drive slowly for the first 1,000 miles to run the engine in.”
“It was run in by Ranochan of Polmadie on the forenoon slow to Carlisle and the afternoon slow back to the North.”
To start a new regime slowly.
To score (a try).
“Toeava went over unopposed to stretch his side's lead but Japan got on the scoreboard on 56 minutes, wing Hirotoki Onozawa intercepting an attempted offload from Slade, who had a rather flaky game, and running in from the All Blacks' 10m line.”
To insert (a word, etc.) without making a line break or new paragraph (so that it is not free-hanging).
“With these subsections, it is better to run their headings in.”
To alter the position of matter to fill vacant space.
simple past and past participle of run in