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The phrase "correlated strongly" is grammatically correct and can be used in written English
It is commonly used in scientific or academic writing when discussing statistical relationships between variables. Example: The study found that there was a strong correlation between exercise and improved cardiovascular health.
Exact(60)
The professors found that the managers' responses correlated strongly to the countries in which they were working.
Almost none of these factors correlated strongly with whether a species or subspecies was boldly striped, subtly striped, or stripeless — except for the prevalence of biting flies.
In this population, endostatin also correlated strongly with eGFR.
Shrinkage and fired bulk density correlated strongly with the CCS.
Sleep duration correlated strongly with a single genetic marker in a gene called ABCC9.
FRAP values of leaf extracts only correlated strongly with TF and TH (R2 = 0.87 0.91).
Higher degrees of cross-linking correlated strongly with lower PVA film crystallinity and decreased hydrophilicity.
Both tensile strength and apparent modulus correlated strongly with physiologically relevant collagen gel fibrillar densities.
Total and sub-factor scores correlated strongly (Spearman coefficient r = 0.49 0.86).
This increase of body weight, representing interstitial edema, correlated strongly with mortality [28].
Internal dose of Penta-BDE technical mix congeners generally correlated strongly with dust.
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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