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The phrase "are perfectly consistent" is correct and usable in written English.
You can use it to describe a situation where multiple elements or statements align without contradiction.
Example: "The results of the experiment are perfectly consistent with our initial hypothesis."
Alternatives: "are entirely coherent" or "are completely aligned".
Dictionary
are perfectly consistent
adverb
With perfection.
synonyms
Exact(22)
So they are perfectly consistent: they always want to cut taxes.
These ideas are perfectly consistent with what we know about the importance of preventive medicine.
Our assumptions are perfectly consistent with what blue-chip forecasters out there are saying.
Citing the success of the Clean Air Act in order to justify gutting it makes, on the face of it, no sense whatsoever; if there's any lesson here, it's that tough pollution standards work, and that they are perfectly consistent with a robust economy.
(5) and (6) are perfectly consistent with one another.
These predictions are perfectly consistent with the published experimental results.
Similar(38)
"That's perfectly consistent with the formulation of the reserve".
"It was perfectly consistent with Caravaggio," Mr. Christiansen said.
"This is perfectly consistent with him," Dr. Pope said.
The character of the finishes is perfectly consistent with the 1933 renovation by Shreve, Lamb & Harmon.
His continued existence is perfectly consistent with an end to the embargo.
More suggestions(17)
are perfectly congruent
are absolutely consistent
are totally consistent
are thoroughly consistent
are perfectly consonant
are certainly consistent
are excellently consistent
are entirely consistent
are definitely consistent
are exactly consistent
are very consistent
are clearly consistent
are perfectly uniform
are quite consistent
are fairly consistent
are fully consistent
are wholly consistent
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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