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Discover Ludwig"as we show" is a perfectly correct and usable phrase in written English.
You can use it when you want to demonstrate something through the text or when you want to refer to a previously mentioned example. For example, "Both theories suggest a similar outcome; as we show, this outcome can be beneficial in certain cases".
Exact(60)
But, as we show in our pamphlet, Choice?
As we show, complexes are amenable to rational design.
Here NE need not be unique as we show via an example.
Moreover, as we show, many of these proteins are only partially characterized.
As we show, conservatives have dominated talk radio since the 1950s.
As we show below, the axis can be placed anywhere within the frame, even outside the plot.
Yet, as we show here, there is in fact plenty of evidence available for review.
Yet as we show in this case study, behind their technical façade, fences are highly political.
Furthermore, as we show in Figure 1, the relative number of labor protests has been increasing each year.
As we show above, if two phases inside the Sagnac do no commute, light will leak into the dark port.
Their attitudes keep getting better as we show them the possibilities that education opens up for them".
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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