The phrase "emphasize the influence" is correct and usable in written English.
For example, you could say, "The professor emphasized the influence of early education on a child's development."
More recent theories emphasize the influence of the endocrine glands on emotional reactivity.
"are driven by traditional Keynesian economic relationships that emphasize the influence of aggregate demand on output in the short term".
Indologists usually emphasize the influence of Sanskritic culture on vernacular culture, and indeed this influence was considerable.
All writers on Tennyson emphasize the influence of the Lincolnshire countryside on his poetry: the plain, the sea about his home, "the sand-built ridge of heaped hills that mound the sea," and "the waste enormous marsh".
To emphasize the influence of scheduling interval on the mean waiting delay, we have the following lemma.
These comparisons emphasize the influence of soil translocation within the landscape by tillage on soil profile characteristics.
Several graphs and statistical analysis were presented to emphasize the influencing effect of those parameters that were detected by ANNs and are directly controlling the error in the total-load sediment flux using measured sand particle data sets.
He suggested that independent panels, made up of members from the bench and the bar, screen Civil and Supreme Court candidates as a way to de-emphasize the influence of party leaders.
"Dancing Around the Bride" emphasizes the influence of a fifth, older artist: Marcel Duchamp.
Art is a many-gendered thing, but right now it is emphasizing the influence of the Y chromosome.
Later research and writing that tended to stress learning theory emphasized the influence of environmental factors in social behaviour.
