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The phrase "a study that demonstrated" is correct and usable in written English.
You can use it when referring to research that provides evidence or findings on a particular topic or hypothesis.
Example: "The researchers published a paper detailing a study that demonstrated the effectiveness of the new drug in treating the disease."
Alternatives: "a study that showed" or "a study that revealed".
Exact(34)
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.
I led a study that demonstrated that tubulin mutations are uncommon in lung cancer and described the artifactual detection of pseudogenes as the origin of a prior report claiming association of tubulin mutation with taxane sensitivity, thus correcting the scientific record. 2. A second area of continuing interest in lung cancer is the conduct of therapeutic and prevention clinical trials.
We conducted a study that demonstrated that the off-normal pulsed laser deposition (PLD) technique allows the simultaneous growth and sculpting of soft magnetic nano-strings with an orientation that is perpendicular to the incidence plane of the plasma and a medium width that can be selected between 8 and 30 nm by selecting an off-normal angle and the appropriate deposition time [11].
The handbook cited a study that demonstrated that grammar instruction did not make a group of students better writers.
Similar(26)
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.
These findings contrast with a previous study that demonstrated a significant reduction in LDImax in a larger group of patients with IGT (28).
Our findings complement a previous study that demonstrated a role for JNK2 in foam cell formation in hypercholesterolemic mice [9].
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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