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"extensive studies on" is a correct and usable phrase in written English.
It is typically used to describe research or investigations that have been conducted on a particular topic or subject. Example: "Extensive studies on the effects of climate change have shown a significant impact on various ecosystems around the world."
Exact(59)
Andrew Metrick, a finance professor at the Wharton School of the University of Pennsylvania, conducted one of the most extensive studies on the question.
We present one of the first extensive studies on the non-polar chemical constituents of brown algae from the coast of Madagascar.
There are few extensive studies on death rates of the mentally ill in facilities like adult homes.
Her research on protest camps has led into extensive studies on the use of tear gas against demonstrators.
Mr. Schairer discovered that the Germans had performed extensive studies on swept-back wings.
Kathleen Vohs, a marketing professor at the University of Minnesota, has done extensive studies on how the presence of money affects the brain.
Suniya Luthar, a psychology professor at Columbia, has done extensive studies on the role of extracurricular activities in children's lives.
There have been extensive studies on Camassa-Holm equation.
Numerous researchers have conducted extensive studies on this topic.
Extensive studies on green mobile computing are listed for detailed analysis [24, 34].
Extensive studies on aliphatic dicarboxylic acids [40] revealed interesting systematics in the topology of ED.
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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