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The phrase "a previous study has shown" is correct and usable in written English.
You can use it when referencing findings or conclusions from earlier research in academic or scientific writing.
Example: "A previous study has shown that regular exercise can significantly improve mental health."
Alternatives: "an earlier study demonstrated" or "prior research indicates".
Exact(60)
Interestingly, a previous study has shown that another muscarinic antagonist scopolamine improved kainate-induced PPI disruption in rats (Koch, 1996).
A previous study has shown that Smad3 co-binds with cell-type specific master TFs on a genome-wide scale41.
A previous study has shown that this particular area is in serious need of quality control.
A previous study has shown that E. coli is able to control host gene expression through modulation of RNA polymerase II19.
A previous study has shown that mGluR1 and GABAA receptors are involved in the deactivation of medial prefrontal cortical neurons in an arthritis pain model14.
A previous study has shown that rats treated on embryonic day 17 have deficits in an eight-arm radial maze task (Gourevitch et al, 2004).
A previous study has shown that transient physical and psychosocial activities increased the risk of developing low back pain.
However, a previous study has shown that observers may disagree in their description of the colours in a bruise.
A previous study has shown that when parents talk to their children, the majority of "or -examples they use are exclusive.
A previous study has shown that the intensity of HAH increases at higher altitude [20].
A previous study has shown that the SPO decreases during flight [28].
More suggestions(16)
a previous study has demonstrated
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a previous study has concluded
a previous study has suggested
a modern study has shown
a specific study has shown
a neonic study has shown
a recent study has shown
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a genetic study has shown
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a previous study has implicated
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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