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"is primarily influenced" is correct and usable in written English.
You can use it when you want to show that a certain thing or person is mostly affected by something else. For example, "The success of a company is primarily influenced by the quality of its products."
Exact(60)
Fatigue damage accumulation in upwind turbine blades is primarily influenced by turbulence in the inflow.
The results demonstrate that the material inhomogeneity term is primarily influenced by the inhomogeneity of the yield strength.
Small ion flow is primarily influenced by the charged surface of the inner walls of the channel.
This type of physical fitness is primarily influenced by an individual's exercise habits; thus, it is a dynamic state and may change.
Specifically, the study shows that particle velocity is primarily influenced by the combustion chamber pressure, and particle temperature is strongly dependent on the fuel/oxygen ratio.
The sound absorption performance of an electroacoustic absorber (EA) is primarily influenced by the dynamic characteristics of the loudspeaker that acts as the actuator of the EA system.
P adsorption is primarily influenced by intra-event flow rates, contact times, runoff volume, pH and by the inter-event chemistry of runoff stored in the filter.
The formation of droplets at a T-junction in a microchannel network is primarily influenced by the pressure difference across the interface in the squeezing regime.
Since the performance of AFO is primarily influenced by their structural stiffness, the investigation of the mechanical response is very important for the design.
The FE analyses carried out reveal that the global structural behaviour is primarily influenced by the tensile response assigned to the homogenized masonry medium.
In forest and rubber plantation, the mean of pairwise βNTI values fell between the null distribution of βMNTD (|βNTI| <+2) indicating that community assembly is primarily influenced by stochastic processes.
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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