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The part of the sentence "analysis has shown" is correct and usable in written English.
You can use it to introduce the findings of a scientific study or investigation. For example, "Analysis has shown that people who exercise regularly have lower levels of stress."
Exact(60)
Invasive harlequin ladybirds are feeding on their native British cousins, DNA analysis has shown.
(Modern analysis has shown that the absinthes produced today have none of these effects).
Analysis has shown the overwhelming majority of submissions called for more regulation, not less.
Drugs are illegal because scientific and medical analysis has shown they are harmful to human health.
Variance-mean analysis has shown that each simple synapse has 2 8 DSs31.
That analysis has shown no link to suicide or suicidal behavior, she said.
Trend analysis has shown an increase in flash flood events.
Molecular analysis has shown epilepsy phenotypes are caused by a surprisingly diverse assortment of mutant genes.
Analysis has shown that this novel cogeneration concept is technologically viable and economically sustainable in Cyprus.
Social media analysis has shown that excessive length can stall a film's word-of-mouth momentum, particularly among the young.
Further analysis has shown that the most likely area of impact was the leading edge of the wing.
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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