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The phrase "a relationship exists" is correct and usable in written English.
It can be used to indicate that a connection or association is present between two or more entities, often in academic or analytical contexts.
Example: "In this study, we found that a relationship exists between exercise frequency and overall health outcomes."
Alternatives: "a connection is present" or "an association exists".
Exact(60)
Existing studies presume that a relationship exists between dispute and dispute resolution.
What sort of a relationship exists between writers and the people they create on the page?
Moreover, even if a relationship exists, the wrong conclusions can be drawn.
Such a "relationship exists when a servant performs services for another, under the other's control or right of control, and in return for payment," the decision asserts.
Some clinical evidence for a relationship exists.
In doing so, this paper shows that a relationship exists between language, cultural context and usability.
We hypothesize that a relationship exists between hyperplastic polyposis and lipomatosis in some cases.
Proper statistical analysis must be done in order to determine whether such a relationship exists.
In this paper, it is shown theoretically that a relationship exists between the correlation entropy and the PSD function.
This study sought to determine if a relationship exists between body image and BSE and SSE behaviors and intentions.
The correlation coefficient was 0.947, indicating that a relationship exists between the kinetic parameters and the stability of the intermediates.
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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