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"Extensive studies" is a correct and usable phrase in written English
You can use it to refer to a large amount of research or investigation that has been carried out. For example, "Extensive studies have been conducted to determine the effects of air pollution on human health."
Exact(57)
Extensive studies on the mechanical behavior of CFRP-confined concrete have been conducted.
Extensive studies of NCPs have been done; see [1 3] and the references therein.
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.
Extensive studies have been conducted to determine the LSW recovery mechanisms, and debatable conclusions were proposed.
Extensive studies have been conducted by various researchers in that field.
Extensive studies have been conducted on understanding the characteristics and behaviors of various botnets.
Extensive studies of LCP have been done, see the books [1 3] and the references therein.
Extensive studies have been performed to verify that this FSC should not introduce any undesirable interactions.
Extensive studies have shown that DAS can enhance coverage, improve capacity, reduce outage, etc.[1 3].
Extensive studies show that the new system is unlikely to affect most whales, the Navy says.
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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