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The phrase "a complex link between" is correct and usable in written English.
It can be used when discussing relationships or connections that involve multiple factors or elements, often in academic or analytical contexts.
Example: "The study explores a complex link between socioeconomic status and educational attainment."
Alternatives: "a complicated relationship between" or "an intricate connection between".
Exact(8)
However, genetic variation accounted for only a small fraction of the variation in fruit characteristics, which suggests a complex link between genotype and phenotype.
Patients with hypertension were excluded from this study since previous studies indicated a complex link between hypertension and migraine [32].
Now, an ever-growing body of research shows a complex link between the skin and the psyche including the way stress itself affects skin conditions such as psoriasis, rosacea, and acne.
This is mainly because of a complex link between monitored function or marker, intervention and outcome.
The mechanisms of apoptosis induction between the two models may also be different, suggesting a complex link between apoptosis and gastric susceptibility to carcinogenesis.
However, the fact that disulfiram resistant cells (MDA-MB-231) are sensitive to the zinc loading activity of disulfiram suggests a complex link between viability and intracellular zinc.
Similar(52)
Prior studies have revealed a relatively complex link between polymerase rate and error rate for nucleotide polymerases [12].
Remarkably, the effect of exogenous Aβ on mTOR signaling was blocked in APP knockout neurons, further supporting an emerging complex link between extracellular and intracellular Aβ.
At the molecular level there seems to be an intriguing and complex link between p53 and NOTCH1.
Using NDS for surveillance or in supporting public health decision making necessitates an understanding of the complex link between the time-varying public health problems (i.e., disease incidence) and the time-varying NDS signal.
This study identifies that there is a need to further explore the complex link between physical activity and depression among Nigerian adolescents, just like their counterparts in other developing countries.
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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