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The phrase "associated differently" is correct and usable in written English.
It can be used when discussing how different elements or concepts are linked or related in various ways.
Example: "The two variables in the study were associated differently depending on the context of the experiment."
Alternatives: "linked in various ways" or "connected differently".
Exact(10)
In one epidemiologic study it was found that various variables associated differently with LBP and differed depending on the subdefinitions of LBP in the previous year [ 36].
Taking advantage of a unique natural experiment generated by migration, we found that different environments during growth were associated differently in men and women with the IHD risk factors affected by sex-steroids at puberty.
The literature suggests that these measures highlight different underlying socioeconomic processes [ 34] and the findings from the current study further highlight that different types of tobacco use are associated differently with these socioeconomic attributes.
Anthropophilic and zoophilic vector species were demonstrated to be associated differently with household risk factors.
This strategy did not allow us to address whether the factors associated differently with each symptom.
The purpose of this was to explore whether health was associated differently with APP and NO2.
Similar(50)
The above results indicate that PTH and magnesium might associate differently to MS depending on the presence or absence of diabetes.
6 In recent years a number of candidate genes have been shown to associate differently with ACPA-positive and ACPA-negative RA.
Some of the traditional risk diabetes factors (e.g. age, lack of physical activity) seem to associate differently in people of African descent.
Specifically, we test the possibility that interference in motor learning may be reduced when two different force fields are associated with differently shaped objects grasped in the hand.
The present study tested the possibility that interference can be reduced when two different force fields are associated with differently shaped objects grasped in the hand.
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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