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The phrase "are actively running" is correct and usable in written English.
It can be used to describe a current state of operation or activity, often in the context of processes, programs, or events that are ongoing.
Example: "The servers are actively running to ensure that all services remain available to users."
Alternatives: "are currently operating" or "are in operation".
Dictionary
are actively running
adverb
In an active manner.
Exact(2)
The Sampsons' daughters, Rebecca Sampson, 35, and Amy Richardson, 33, each went off to college, but have now returned and are actively running the ski area.
His Globis Management School has enrolled 2,000 students this term, most of them part-time, but 10% are actively running their own businesses.
Similar(57)
He was actively running Bell Aircraft Corporation, Buffalo, at the time of his death.
They want someone punished, preferably Hillary, since she's actively running for the highest office in the land.
Boylan will almost certainly be present, although he may not be actively running the negotiations toward a settlement.
A Giuliani victory would mean that Mr. Green, who is actively running for mayor himself, would be an incumbent when the mayoral election is held next year.
It is actively running the same sort of scanning program used by the spammers to find out whether any of its customers have open proxy servers.
For Libtiff, discovered by Ormandy, it opens a potential vulnerability that could be exploited when SSH is actively running [3, 4, 5, 6].
For example, program-generated touch events on a specific rectangle region (for displaying advertisements) can be ignored during the target program is actively running.
What happens when one branch of the family is actively running a business and all their aunts, uncles, nieces, nephews and cousins are waiting impatiently for their dividends?
Using this computational steering in the AGENT system, coarse MOC resolution parameters can initially be selected and later update them – while the simulation is actively running – into fine resolution parameters.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com