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The phrase "a simple relationship between" is correct and usable in written English.
It can be used when describing a straightforward connection or association between two or more elements, concepts, or variables.
Example: "In this study, we aim to explore a simple relationship between exercise frequency and overall health."
Alternatives: "a straightforward connection between" or "an uncomplicated link between".
Exact(59)
Mr. Papillaud described his deal with Roseburg as a simple relationship between a buyer and seller.
A simple relationship between viral load and survival time in HIV-1 infection.
There is a simple relationship between the make code and break code.
Unfortunately, there does not appear to be a simple relationship between rainfall and counts of sewage-indicating bacteria, said O'Mullan.
A simple relationship between the amount of precipitation and carbonate losses was found.
A simple relationship between the two parameters of the equation is explored.
One of the quirky rules governing the behavior of subatomic particles is Heisenberg's uncertainty principle, which, among other things, specifies a simple relationship between time and energy.
Under these conditions, theory predicts a simple relationship between summary measures and human results are consistent with theory.
A simple relationship between the mobility of the induced carriers and the built-up surface potential has been derived.
A simple relationship between the so-called Ostrogradski energy and the mechanical energy is derived for hinged hinged end conditions.
Finally, we point out that our design framework incorporates a simple relationship between the multiscaling functions and multiwavelets that substantially simplifies the implementation of the system.
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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