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The phrase "a quick and extensive" is correct and usable in written English.
It can be used to describe something that is both fast and thorough, often in contexts like research, reviews, or assessments.
Example: "The report provided a quick and extensive overview of the project's progress."
Alternatives: "a rapid and comprehensive" or "a swift and thorough".
Exact(1)
This results in a semi-analytical tool that, unlike previous studies, enables a quick and extensive study into the effects of varying the physical characteristics as well as the pit design parameters.
Similar(59)
In stark contrast to a quick increasing and extensive applications of time-fractional derivative to diverse scientific and engineering problems, little has been reported on space-fractional derivative modeling.
Quick and extensive 0° fiber splitting and the corresponding 90° fiber shear off were found to be the underlying causes of stress concentration alleviation.
This quick and extensive loss of the subchondral plate thickness and increase in plate porosity cannot be explained by unloading and strongly suggests that cartilage-bone interplay is part of the etiology of osteoarthritis.
This procedure has found more extensive use as a quick and reliable way of identifying mutations in PCR products amplified from specific genes (O'Donovan et al, 1998; Arnold et al, 1999; Choy et al, 1999; Gross et al, 1999).
"We've done a quick and dirty analysis," Ms. Marrinan said, "but need to do a more extensive one".
Suharto decreed a quick and quiet funeral.
A quick and easy snack.
Presto: a quick and easy public offering.
This book is a quick and easy read (120 pages).
She had a quick and complete recovery after surgery.
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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