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The phrase "extensive previous study" is correct and usable in written English.
You can use it to indicate when the subject you are discussing has been studied in depth in the past. For example, "This research builds upon the extensive previous study of the effects of climate change on migration patterns."
Exact(1)
The most extensive previous study on 5FU responses in 30 CRC lines showed a range of GI50 values between 0.7 and 23.1 μ (Mariadason et al, 2003).
Similar(59)
Our extensive previous studies have shown that in this condition induction of expression occurs at concentrations of 0.1 to 50 mM D-xylose (van der Veen et al. [2009]; Mach-Aigner et al. [2012]).
The most extensive previous studies of autoantibody development were performed using sera from a large cohort of connective tissue disease patients.
Extensive previous studies have compared the immunological response of asymptomatic HTLV-I carriers to that of HAM/TSP patients [ 11, 12].
Strengths of the study include the measurement of allergen-specific IgE and SPT to the dominant allergens in the study population based on extensive previous studies in Ecuador [ 6, 9, 17, 31].
Importantly, extensive previous studies in both humans and experimental animals have demonstrated that chylomicron- and chylomicron remnant-like particles without apoB48 are cleared from the blood and metabolised in a similar way to the corresponding physiological lipoproteins [31 34].
These facts, the extensive previous studies of Creijido and colleagues, and the findings presented here provide strong support for the contacts of the caveolar Na+/K+-ATPase of two adjacent cells at adherens junctions.
More importantly, extensive previous studies in renal and other epithelial cells have implicated the β-subunit of Na+/K+-ATPase in the regulation of cell adhesion in partnership with E-cadherin and annexin-2.
Although there are extensive previous studies describing the effects of elevated glucocorticoids on metabolism, very few have addressed the consequences of reducing cortisol action, particularly in the context of diabetes (reviewed in Refs. 1, 25).
Extensive previous studies of the behavior of polymers in general and DNA in particular have yielded proposed relationships between, on the one hand, the genomic distance s and contact counts c and, on the other hand, genomic distance s and physical distances d for several classes of polymers (Fudenberg and Mirny, 2012; Grosberg et al., 1988; Lieberman-Aiden et al., 2009).
The P. dominulus study system is unusual in that extensive previous work allows us to identify such contexts.
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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