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"directly correlates with" is correct and can be used in written English.
It's used when two things have a noticeable, statistically relevant relationship and implies that one variable is related to the other in a cause-and-effect manner. For example: "The amount of rainfall in this region directly correlates with the number of mosquitoes."
Exact(60)
Sabiti says the rise of Uglish directly correlates with a fall in the standards in education.
Allowing flexible working directly correlates with having more women in management positions.
Several groups have shown that limited antigen degradation directly correlates with efficient cross-presentation56,57 cross-presentation56,57
We know that poverty directly correlates with single-family households, especially where the single parent is a woman.
Education level directly correlates with whether a young woman uses family planning.
However, the collective wellbeing of children and families in our society directly correlates with economic and social realities and their impact on how people, particularly parents, feel.
The transient SH intensity directly correlates with the time and potential dependent surface charge density on the electrode.
Therefore, loss in detectable LC3 covalent interaction provides a measure of autophagy induction, as it directly correlates with upstream activation of Atg3 and Atg7.
How you present yourself directly correlates with your closing rate.
Career confidence directly correlates with belief in oneself.
Business continuity, in particular, directly correlates with applications and their continuity.
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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