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The phrase "a relationship between this" is correct and usable in written English.
It can be used when discussing connections or associations between two or more subjects or concepts, where "this" refers to a specific item or idea previously mentioned.
Example: "In the study, we explored a relationship between this phenomenon and its impact on local ecosystems."
Alternatives: "a connection between this" or "an association with this".
Exact(35)
But they have not yet found a relationship between this and the birds' habitats.
Mr. McCarthy, who worked widely in the Middle East, discerned a relationship between this organizing principle and classic Islamic design.
Previous studies have suggested reductions in brainstem volume and a relationship between this structure and sensory abnormalities.
A relationship between this emission, the participation of sulfates on the filter medium and the concentration of NH3 has been determined.
The proof relies on a relationship between this problem and the problem of finding barycenters in the Wasserstein space, a connection first observed for finitely many marginals by Agueh and Carlier (2011) [1].
We looked for a relationship between this allele and the allele in the endothelial nitric oxide synthase gene (NOS3) that produces the A form (NOS3*A) with respect to preeclampsia.
Similar(25)
For this reason, a relationship between the A80G polymorphism and NTD risk cannot be entirely discounted.
This established a relationship between the order of the planets and their periods, and it made a unified system.
This creates a relationship between the group and those behind the cause, which has dual benefits.
This suggests a relationship between these variables.
The study also found a relationship between the SOC and DA, although this relationship was weaker.
More suggestions(16)
a tension between this
a slippage between this
a correspondence between this
a space between this
a balance between this
a difference between this
a cross between this
a hybrid between this
a chasm between this
a connection between this
a comparison between this
a continuity between this
a distinction between this
a bridge between this
a gap between this
a contest between this
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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