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The phrase "a study that demonstrates" is correct and usable in written English.
You can use it when referring to research or findings that provide evidence or support for a particular claim or hypothesis.
Example: "The researchers conducted a study that demonstrates the effectiveness of the new treatment in reducing symptoms."
Alternatives: "a study showing" or "a study illustrating".
Exact(7)
Kniffin and Cornell Food and Brand Lab Director Brian Wansink conducted a study that demonstrates that men are at particular risk of overeating in social situations.
Zoe Todd is co-author of a study that demonstrates how the building blocks of life could have emerged on the primordial Earth from small amounts of cyanide and copper irradiated with UV light.
Last year, UNITAID released a study that demonstrates exactly what a country would need to do to implement an FTT.
18 Evidence for this hypothesis can be gleaned from a study that demonstrates both elevated anxiety, as measured by the General Health Questionnaire-30, and impaired cognition, as measured by a neuropsychological battery, in patients with untreated UIAs.
This result is also supported by a study that demonstrates that osteoblasts exhibit significantly higher proliferation capacity on the chitosan/hydroxyapatite scaffold as compared to that on pure chitosan scaffolds [ 29].
This result is also supported by a study that demonstrates that osteoblasts exhibit significantly higher proliferation capacity on the CS/nHAp scaffold as compared to that on pure chitosan scaffolds [ 29]. Figure 6 shows the scanning electron microscopic image of osteoblast cell adhesion and cell interaction with CS/nHAp-modified decellularized scaffold.
Similar(53)
In 2002, the New England Journal of Medicine published a study that demonstrated that the surgery worked no better than a sham procedure in which a surgeon merely pretended to operate.
This fits with a study that demonstrated degradation mapping with another 3D SAR approach, i.e. radargrammetry [18].
Xie et al. [17] conducted a study that demonstrated application of a Bayesian ordered probit model in drivers' injury severity analysis.
The handbook cited a study that demonstrated that grammar instruction did not make a group of students better writers.
Planned Parenthood has maintained that it was not selling fetal tissue, which would have been illegal, and commissioned a study that demonstrated the videos were manipulated.
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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