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Discover LudwigThe phrase 'example shows' is correct and usable in written English.
You can use it when referring to an example that is providing evidence of a particular point. For example, "The example shows that most children are resistant to trying new foods."
Exact(60)
An example shows how the formula works.
One example shows the Taliban in Arab headdresses.
It's not new, as this 19th century example shows.
The Australian example shows what can be done.
The following example shows the formation of ethylene, C2H4.
An example shows the difference.
One example shows the application.
A numerical example shows its effectiveness.
Numerical example shows validity of our analysis.
The following example shows this.
The following example shows that.
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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