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The phrase "a study has demonstrated that" is correct and usable in written English
You can use it when referring to research findings or evidence that supports a particular claim or conclusion. Example: "A study has demonstrated that regular exercise can significantly improve mental health."
Exact(9)
For the first time, a study has demonstrated that an anti-HIV pill can protect uninfected people from contracting the AIDS virus through sex.
This is the first time a study has demonstrated that offshore East Coast wind energy can provide "a relatively reliable supply of smooth power," says environmental engineer Mark Jacobson of Stanford University in California.
Recently, a study has demonstrated that DEPDC5 mutation was involved in focal epilepsy, a neurodegenerative disease.
A study has demonstrated that the phenotype of activated IFN + CD8+ T cells was associated with a 1.8-fold increase in tumor sensitivity to radiotherapy [ 55].
Obesity is strongly associated with CVD and diabetes, but a study has demonstrated that obesity is not independently associated with either increased overall mortality or, more specifically, increased CVD mortality [ 9].
A study has demonstrated that human MSCs can egress from adipose tissue to migrate to lymph nodes [ 51], suggesting that MSCs may avoid the blood stream as a means of transportation and instead use the lymphatic system.
Similar(51)
A recent study has demonstrated that a mutation in a cohesin subunit in human cancer causes aneuploidy (Solomon et al. 2011).
A recent study has demonstrated that a SOX2+/p63- immunohistochemical profile correlates with high-grade histology across non-small cell lung cancer subtypes [23].
Interestingly, a recent study has demonstrated that only a small percent (1 3%) of the nucleosome-bound SNF2h in vivo was affected by ATP levels.
A previous study has demonstrated that D609, an inhibitor of sphingomyelin synthase, inhibits ε-toxin-induced cytotoxicity [38].
A previous study has demonstrated that BRL is an inherited trait in Danish Holstein and Danish Red cattle.
More suggestions(12)
a study has revealed that
a study has suggested that
a study has confirmed that
a study has reported that
a report has demonstrated that
a b has demonstrated that
a study has indicated that
a study has concluded that
a group has demonstrated that
a company has demonstrated that
a study has found that
a study has displayed that
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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