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"the same as shown" is a grammatically correct phrase and can be used in written English.
It is often used to clarify that something is identical or unchanged from what has been previously shown or described. Example: The product you will receive is the same as shown in the advertisement.
Exact(60)
Presentation order will be the same as shown in the projects listing on the web pages on the blog.
The video viewed by The Times – apparently the same as shown to congressional staff – ends shortly after that firefight.
The result obtained were much the same, as shown in Figs. 14 and 15.
The simulation parameters are the same as shown in Section 6.2.
The given orientation is the same as shown in Fig. 9 for St = 1.
The calculated results from the two methods were about the same, as shown in Figure 3.
However, the case is not the same as shown in the present study.
The broken lines and the purple polygon are the same as shown in Fig. 1.
The baseline (by using clean AM) is the same as shown in[10, 54].
Simulation parameters are all the same as shown in Table 4. Figure 14 Tree topology.
The Al composition profile along the NW length is the same as shown in Fig. 1a for the planar film.
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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