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The phrase "has shown to lower" is correct and usable in written English.
It is typically used to describe a proven or observed decrease in something. Example: "Recent studies have shown that regular exercise has been proven to lower the risk of heart disease."
Exact(1)
Carvedilol has shown to have pleiotropic properties including antioxidant exerting effects [ 10] and has shown to lower mortality in patients with CHF.
Similar(59)
These foods are low in fat and sugar but high in the complex carbohydrates and soluble fibers that studies among desert dwellers, both in Arizona and Australia, have shown to lower blood glucose, insulin and cholesterol.
For instance, introduction of the Staged Diabetes Management clinical pathways for dialysis patients have shown to lower the amputation rate considerably [ 22].
Slowing the delivery of the infants' head and supporting the perineum are interventions that have shown to lower the risk of OASIS [ 37].
The LA GD coupled system has shown to provide lower detection limits.
The administration of pre-operative single dose antibiotic prophylaxis has shown to have lower cumulative incidence of surgical-site infection compared to multiple doses.
Spending time outside has been shown to lower stress levels and has similar effects on your brain and body as meditating.
Monounsaturated fat (often called "the good fat") has been shown to lower blood cholesterol and may even have some cleansing effect on the arteries.
Better education among women and girls delays their first pregnancy and has been shown to lower the total number of children a woman has.
Having kids exercise an hour each day before school has been shown to lower BMI and encourage academic engagement according to a study by postdoctoral student Rachel Whooten.
Sleep deprivation also has been shown to lower inhibitions among both adults and teens.
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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