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Discover LudwigThe phrase "results shown" is grammatically correct and can be used in written English
It is commonly used in contexts where the speaker or writer is discussing the results of a study, experiment, or analysis. Example: The results shown in the graph indicate a clear correlation between exercise and weight loss.
Exact(60)
Had the results shown a safety problem, sales would have plunged.
It does not have the ambiguous results shown in Mr. Ariely's study.
They seem more willing to to act on dramatic results shown in small numbers of patients," he said.
The results shown above are a bit janky, but at least it works.
Results shown correspond to an SDM configuration.
Results shown are from two independent experiments.
Most of the results shown are novel.
The simulation results shown good agreement with the experimental results.
Barckley told me that Weleda does third-party efficacy tests, with results shown on the website.
Results shown are the mean ± s.d.
Results shown are the mean ± s.e.m.m
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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