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The phrase "are ordinarily" is correct and usable in written English.
It can be used to describe a general or typical state of affairs or behavior in a formal context.
Example: "In this region, the temperatures are ordinarily mild during the spring months."
Alternatives: "are usually" or "tend to be".
Dictionary
are ordinarily
adverb
In accordance with normal custom or routine; as a matter of established occurrence.
Exact(59)
But these are ordinarily found in nonfiction.
Assets are ordinarily subdivided into current assets and noncurrent assets.
The products in question are ordinarily highly profitable.
But these are ordinarily found in non-fiction.
The images from those cameras are ordinarily not stored, though.
There are ordinarily six fellows in each year.
Specimens are ordinarily loaned for a period of six months.
Chase's card doesn't charge overdraft fees; purchases in excess of the card's balance are ordinarily declined.
A company's financial statements are ordinarily prepared initially by its own accountants.
Other malignant tumours that involve the stomach are ordinarily made up of lymphoid and connective tissue.
Similar(1)
This is ordinarily a no-no.
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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