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The phrase "all three show" is correct and usable in written English.
It can be used when referring to three subjects or items that demonstrate or reveal something in common.
Example: "The results of the experiments were consistent; all three show a significant increase in efficiency."
Alternatives: "all three demonstrate" or "all three indicate".
Exact(16)
All three show a sure hand in the cellar.
All three show good activity towards methane steam reforming.
All three show the Lib Dem share of the vote falling.
(All three show on Friday, with the two directors scheduled to appear).
All three show encouraging results, and need just one more step to be approved for use in the United States.
All of these patients showed hyperglycaemia typical of diabetes and with marked hyperinsulinaemia typical of insulin resistance, but all three show normal tolerance to exogenously administered insulin.
Similar(44)
All three shows sold out.
All three shows were produced by Paul Henning.
All three shows go over familiar ground.
All three shows were radio phone-ins.
All three shows recognise the world they're coming into.
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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