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The phrase 'introducing an example' is correct and can be used in written English.
For example, 'Introducing an example, let's look at how the company has handled customer complaints in the past.'.
Exact(1)
Wittgenstein begins his exposition by introducing an example: "… we get [a] pupil to continue a series (say '+ 2') beyond 1000 and he writes 1000, 1004, 1008, 1012 (PI 185)".
Similar(59)
Now, introduce an example.
For diffeomorphisms, we introduce an example.
Also, we introduce an example to illustrate our result.
Now, we introduce an example to support our results.
Also, we introduce an example to support our results.
Now we introduce an example to support Corollary 2.6.
Now we introduce an example to support Theorem 2.3.
Also, we introduce an example to support our main results.
We introduce an example that motivates the inclusion of registers in the model.
Also, we introduce an example as an application of our results.
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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