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The phrase "previous research shows" is grammatically correct and can be used in written English.
It is commonly used in academic writing to introduce existing research on a topic. Example: Previous research shows that regular exercise can improve overall physical and mental health.
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Previous research shows that researchers' social network metrics obtained from a collaborative output network (e.g., joint publications or co-authorship network) impact their performance determined by g-index.
Previous research shows that the seeds will sprout even after exposure to seawater2.
Previous research shows that trades by insiders are informed, on average.
Previous research shows that the number of second and third births has increased from 2007.
Nevertheless, previous research shows that the public perception of fraud is 34 times higher than the reality.
Previous research shows contradictory findings on which planning problems are related.
Previous research shows reduced cervical and breast cancer screening among women with physical disabilities.
Previous research shows that dermal fibroblasts express chondrocytic markers after seeding on aggrecan-coated surfaces.
Previous research shows that members of the social circle of a subscriber may influence churn.
However, previous research shows that there is great variability in such assessments.
Previous research shows motivational, patient-centred approaches are more effective at this than traditional, didactic approaches.
More suggestions(16)
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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