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Discover LudwigThe phrase "are duly" is correct and usable in written English.
It is typically used to indicate that something is done in a proper or appropriate manner, often in formal contexts.
Example: "The documents are duly signed and submitted for review."
Alternatives: "are properly" or "are appropriately".
Dictionary
are duly
adverb
In a due, fit, or becoming manner; as it ought to be; properly.
synonyms
Exact(60)
We are duly chastised.
Peekskill residents are duly appreciative.
Relatives and friends are duly impressed.
"They are duly proud of their resilience and self-sacrifice.
The couples in "Vollmond" are duly compulsive, manic and irrational.
The duo are duly celebrating their first No 1 album.
These misjudgments are duly recorded, but only dimly evaluated.
The public can be informers, and we are duly grateful.
All documents are duly notarised and authenticated by our authorities".
General geometric, as well as capacity design constraints are duly accounted for.
The nonlinearities, arising due to base isolated bearings and seismic forces are duly considered.
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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