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The phrase "a recent study by the same" is not complete and lacks context, but it is grammatically correct.
You can use it when referring to a study conducted by the same author or organization mentioned earlier in the text.
Example: "According to a recent study by the same researchers, the results were consistent with previous findings."
Alternatives: "a recent study conducted by the same" or "a recent study from the same".
Exact(9)
The research follows a recent study by the same group that showed that staying up all night reduced students' ability to cram new facts by nearly 40%, a consequence, they said, of brain regions effectively shutting down through sleep deprivation.
A recent study by the same group has calculated both bending stress and contact pressure using three-dimensional finite element (FE) analysis to compare with a symmetric tooth profile (Kapelevich and Shekhtman, 2016).
A recent study by the same group investigated successful neuroprotective and immunomodulatory effects of human MSCs in a double-toxin induced animal model of MSA-P [23].
Furthermore, a recent study by the same group reported that a TLR2_(G2258A) polymorphism, which has been associated with decreased lipopeptide-induced signaling, was associated with increased ABU risk [53].
In a recent study by the same group, diffusion NMR was used for the separation and characterization of contaminants in pharmaceutical heparin [ 74].
Furthermore, a recent study by the same group demonstrated a dose-dependent increase in pCRP-induced formation of reactive oxygen species and apoptosis in EPCs [ 19].
Similar(50)
At the same time, a recent study by the United States Federal Communications Commission (FCC) shows that most of the allocated spectrum in the US is under-utilized [1].
By the same token, a recent study by the employment agency Manpower finds that 52percentt of American companies said they are experiencing difficulty finding employees qualified enough to fill mission-critical positions, compared to only 14percentt in 2010.
A recent study by the Bank of Italy showed that if employment levels among Italy's women were the same as those among men the country's G.D.P. would be seventeen per cent higher.
In a recent study by the U.S. Labor Department, fewer Americans were found to be quitting their jobs; more were staying in the same job longer.
A recent study by the Institute of Medicine found that members of minorities received worse medical care, even when their income and insurance was the same.
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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