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The phrase "complementarity of" is correct and usable in written English.
You can use it to describe two or more things that are related in a way that completes or enhances each other. For example, "The complementarity of flavors in this dish creates an intriguing combination of tastes."
Exact(60)
"There is a natural complementarity of interest".
His colleague Niels Bohr, with his love for paradox, spoke of the "complementarity of the bomb".
Perhaps Finland best catches the tensions between -- but also the complementarity of -- technology and nature.
Marriage is rooted in the complementarity of man and woman.
More likely we are going to hear the usual "feminine genius" and "complementarity of the sexes" claptrap.
He claimed the "complementarity" of the two sexes is "at the root of marriage and the family".
China likes to talk of the complementarity of the two economies, coupling China's manufacturing might to India's strength in services.
The complementarity of the techniques is discussed.
The complementarity of these methods is discussed.
The results show the complementarity of the methods used.
This is the complementarity of the optimization iteration.
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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