'conduct extensive research' is correct and usable in written English.
You can use it to talk about the process of performing an in-depth study on a particular subject. For example: "I conducted extensive research to make sure that my paper was well-informed and accurate."
The Department of Energy and the National Institutes of Health conduct extensive research.
Owen stayed in New York to conduct extensive research on African-American history and prepare a questionnaire to be sent to officials involved with freedmen throughout the country.
Larry Cornett, the company's vice president for consumer products for search, said that in the last year alone, Yahoo had unveiled technologies that allow publishers to better showcase their sites in search results and tools that make it easier to conduct extensive research.
The German actor Julia Wieninger, another of Mitchell's regular collaborators, recalled that the cast of Martin Crimp's The Rest Will Be Familiar to You from Cinema, a free adaptation of Euripides' Phoenician Women, were asked to conduct extensive research into bronze age Thebes.
They usually target one or few individuals at an organization, and they conduct extensive research in order to craft a very personal and convincing email.
Spay FIRST! partners with the USDA to conduct extensive research (non-terminal) on injectable fertility control options for female dogs.
Researchers have conducted extensive research on anomaly detection techniques for cyber security.
Recently, researchers have conducted extensive research on the mechanism of DNA methylation and its role in embryonic development.
Eager to reach these better paying customers, the power company has conducted extensive research into the possibility of a massive extension cord — or a "submarine interconnector," in the jargon of the trade — to plug Iceland into Europe's electricity grid.
