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The phrase "by the interplay between" is correct and commonly used in written English.
It is typically used to describe the dynamic interaction or relationship between two or more factors or elements. Example: The success of the project was determined by the interplay between the team's collaboration and the efficient use of resources.
Exact(60)
Buildings as well as cities can be animated by the interplay between exposure and disregarding.
I'm still quite fascinated by the interplay between surveillance systems and censorship.
Each work is enriched by the interplay between a monolithic scale and the caressing detail of the densely furrowed surfaces.
Tendon development is regulated by the interplay between TGF-β, Wnt, and FGF signaling pathways.
The morphological development is controlled by the interplay between crystallization and microphase separation.
The motion of vesicles is governed by the interplay between hydrodynamic and elastic forces.
The delivery of iceberg-rafted sediments to the core site is controlled by the interplay between glaciological, climatic, and oceanic conditions.
Like the rest of the store, the space is activated by the interplay between the open and the bounded, the seamless and the seamed.
The structural and mechanical of these hydrogels are dominated by the interplay between phase separation and gelation.
Normal tissue development and function are regulated by the interplay between cells and their surrounding extracellular matrix (ECM).
SIMTRA simulations confirmed that the deposition rate is strongly influenced by the interplay between deposition geo-metry and particle transport.
More suggestions(16)
by the combination between
by the interconnection between
by the interface between
by the interrelation between
by the relation between
by the interactions between
by the relationships between
by the correspondence between
by the mismatch between
by the split between
by the linkage between
by the collision between
by the overlap between
by the gap between
by the collaboration between
by the reaction between
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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