The phrase "roll around the" is correct and can be used in written English.
It is typically used to describe the action of something moving around or over something else. Here is an example sentence: The small marble rolled around the corner and out of sight.
Exact(57)
It's like Sunday school or little league, and by the time the Oscars finally roll around, the danger of awards fatigue in this town is frighteningly high.
When 2000 actually did roll around, the striking thing was how over-optimistic the list was: Kahn foresaw most things that actually did happen, but also many things that didn't (and still haven't).
You can sit, stand, lay down, roll around — the scene doesn't go away.
John Murphy from musicOMH was critical of the latter half of Pure Heroine, writing "by the time 'Glory and Gore' and 'Still Sane' roll around, the template's starting to sound a bit tired".
In response to a thirst from the growing vogue community who couldn't wait for a year to roll around, the balls have evolved from annual events to once every six weeks at Auckland's long-running LGBQT institution Family Bar.
It was a pill he loved to roll around the tongue, savouring its every possibility.
Empty bottles of wine roll around the edges of the scene.
Then, we took the tack off and let him roll around the pen.
It's worth letting that roll around the brain pan — the impoverished in New York equal the population of three Bostons.
"We're not going to let a hot car roll around the system for two or three days," he said.
Similar(1)
It is funny at times, though more often in a knowing, chuckly way, rather than a snot-snorting, roll-around-the-carpet way.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com