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The phrase "exert a substantial influence" is a correct and usable phrase in written English.
You can use this phrase when you need to express that something has a strong influence on something else. For example, "The boss's attitude towards the project has exerted a substantial influence on the team's morale."
Exact(6)
Best friends exert a substantial influence on rising alcohol and marijuana use during adolescence.
Climate change can modify the pollen season characteristics of different allergenic taxa in diverse ways and can exert a substantial influence on habitat regions.
Such consequences have been observed to exert a substantial influence on children's cognitive and emotional development and well-being later in life, through various pathways [38].
Variations in CA size and type were observed to exert no effects on BR, which further validated the adopted mesoscale current conduction model, and further indicated that interfacial transition zones do not exert a substantial influence on concrete resistivity.
As regards these subcategories, it turned out that it was not necessary to include them as separate groups, since the preferences of these subgroups were not substantially different from each other and since some of these subgroups were not organised in such a way so as to exert a substantial influence on policy making.
Furthermore, a locus on chromosome 4 has been identified by genome-wide scans for linkage of human exceptional longevity and these linkage results indicate the existence of one or more genes that exert a substantial influence on the ability to achieve exceptionally old age [43], [44].
Similar(53)
Traditionally, it's enough for a teacher to have the first two kinds to teach well, but with the development of technology and its influence on education, the last kind exerts a substantial influence on an individual teacher's teaching, particularly, teaching with FCM.
As a Polish delegate at the Paris Peace Conference and a signatory of the Versailles Treaty, Dmowski exerted a substantial influence on the Treaty's favorable decisions regarding Poland.
If age exerts a substantial influence on the ERP, then this may mask effects of interest when comparing two groups.
Since the characteristics of responders and nonresponders did not differ, we have no reason to believe that nonresponse bias is exerting a substantial influence on our results.
In other words, it is not granted that citizens will have access to these particular processes of governance, and if they have access, it is not given that they can exert any substantial influence, since the course of affairs is already largely determined whether in the allowable repertoire of action or in the possible contestation of knowledge.
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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