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The phrase "all demonstrate that" is correct and usable in written English.
It can be used when referring to multiple subjects or pieces of evidence that collectively support a conclusion or assertion.
Example: "The results of the experiments, the surveys, and the interviews all demonstrate that the new policy is effective."
Alternatives: "all indicate that" or "all show that".
Exact(25)
These examples all demonstrate that the political will to act is, itself, a renewable resource.
But there is solid support from William Gaunt's Gloucester, Jonathan Hyde's Kent and Julian Harries's Albany, who all demonstrate that goodness can exist, even in an anarchic world.
NATO's operations in Afghanistan, Libya, Kosovo and in the Mediterranean Sea and the Indian Ocean all demonstrate that, more than 60 years after its ratification, the Washington Treaty remains relevant — an essential guarantor of peace and security.
"The burying of the adjudication on page 2, the absence of an actual correction and the absence of an apology all demonstrate that Ipso, like the PCC before them, strives to protect the newspapers that control them at the expense of the public interest.
Theoretical analysis and experimental results all demonstrate that the proposed method can learn the Bayesian network from data effectively.
These reports all demonstrate that European gypsy moth may feed on radiata pine and can cause severe defoliation but they do not provide important details regarding the outbreaks.
Similar(35)
"Mary Tyler Moore, Murphy Brownwn" and "Roseanne" all demonstrated that a smart woman can have a life outside of cooking, cleaning and begging to be put in her husband's show.
The results all demonstrated that virtual bioequivalence study can overcome the inequivalence caused by inter-subject variability of the 6 beagle dogs involved in in vivo experiments.
His art, above all, demonstrates that lines in and of themselves can be funny.
This last work above all demonstrates that Mr. Morris is one of the great artists of our time.
Darren Henley seems to think that in this age of harsh austerity, two opera houses cheek-by-jowl in London is fine; this all demonstrates that it is Arts Council England that lacks credible ideas.
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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