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The phrase "As shown in" is correct and can be used in written English.
You can use it when introducing a source of information or evidence. For example: "As shown in the data from the survey, the majority of respondents indicated a preference for the red design."
Exact(60)
As shown in the movie, Ms. Somers's strategy backfired badly.
As shown in the attached transcript, ….
As shown in Eqs.
As shown in Sect.
As shown in Figure.
As shown in Table 4.
As shown in Fig. 6b.
As shown in Algorithm 1.
As shown in Theorem 3.1,.
As shown in Appendix A (18).
As shown in the chart, Bitcoin's volatility is truly fantastic.
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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