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The phrase "any potential relationship" is correct and usable in written English
You can use it when discussing possible connections or associations between two or more entities, often in a speculative context. Example: "We should explore any potential relationship between diet and mental health."
Exact(34)
The timing of detected icequakes was compared against periodic components of the modelled tidal cycle in order to examine any potential relationship between tidal forcing and seismic signal incidence.
"I wouldn't want to undermine any potential relationship Sir William wants to build.
As in the example of intrusive popups upon first entering a retail website, such a first impression sends a powerful message that any potential relationship is lopsided.
Exploring any potential relationship between gender and alexithymic traits in young headache sufferers, we found no statistically significant differences between male and females in our sample's alexithymic traits.
Researchers will study 2,500 seventh graders in 160 schools throughout London.This study, over a period of three years, will represent the largest investigation to date evaluating any potential relationship of mobile or smartphone phone use on the developing brains of teens.
Studying any potential relationship between abortion and prematurity is very complex because of the large number of potentially distorting factors (Figure 2).
Similar(26)
For now, though, Warner has questioned Facebook about any potential relationships, a spokeswoman said.
Responses to three questions are used to explore any potential relationships between opinions on religion and terrorism.
Secondly, the existence of any potential relationships between easily predicted tree characteristics and wood density were examined.
Additional exploratory analyses were conducted to examine any potential relationships between design frequency and indices of verbal and nonverbal fluency as well as depression.
The purpose of this is to ascertain any potential relationships between these measures regardless of study group.
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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