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The phrase "are then required" is correct and usable in written English.
It can be used when indicating that something is necessary or mandatory after a certain condition or event has occurred.
Example: "All participants are then required to submit their reports by the end of the week."
Alternatives: "must then be submitted" or "are subsequently needed".
Exact(60)
You are then required to take a minimum of 21 upper division units, however your requirements will automatically give you 22 to 24 upper-division units, depending upon which emphasis and electives you choose.
Onshore subsidiaries are then required to pay royalties to the separate brand-controlling subsidiary.
Especially prepared "sealed" flavours are then required to prevent loss by evaporation.
Other midline structures, including the notochord and floorplate, are then required to maintain these asymmetries.
Extra mechanical interventions are then required to mill out the ball seat after fracturing treatment.
We are then, required to delineate the manner in which Aguilar's two-pronged test should be applied in these circumstances.
Finally, detectives are then required to prepare a subpoena, the results of which usually take a few weeks.
That warrant is sent to phone operators and ISPs, which are then required to intercept the requested information and forward it to the respective government agencies.
They are given briefing materials to review in advance and are then required to submit a comprehensive memo in response to a set of specific policy questions.
For instance, in group investigations students may be split into groups that are then required to choose and research a topic from a limited area.
Students are then required to purchase hospitalization and prescription drug coverage, unless they are covered under another policy (via a spouse or parent).
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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