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The phrase "share the same structure" is correct and can be used in written English.
It is typically used to describe two or more elements that have a similar or identical organization or arrangement. Example: "Both sentences share the same structure of subject-verb-object." In this sentence, the phrase is used to explain that two different sentences have the same grammatical organization.
Exact(24)
Computations of and share the same structure.
This is due to the fact that they share the same structure.
DAEs share the same structure as autoencoders, but the input data are a noisy version of the output data.
DAEs share the same structure as autoencoders, but input data are a noisy version of the teacher signal.
The studied compounds share the same structure of their hydrophobic backbone, but differ in their hydrophilic cationic headgroup, which is formed by a trimethylammonium, a trimethylarsonium or a dicationic moiety.
Gender hierarchies, in which men are thought to be separate from and superior to women share the same structure, according to this analysis, as hierarchies that separate humans from other animals and justify human dominance over the allegedly inferior others.
Similar(36)
This may explain how several memory systems can share the same structures while remaining independent.
And so — though it was certainly clear that the two halves shared the same structure and motifs — it seemed on first viewing that the dance material itself might not be exactly the same.
He said that the sample shared the same structure and functions as the spyware that was aimed at the Bahraini activists, and that he believed the spyware to be FinSpy.
The chosen algorithm is specifically designed to solve problems whose solutions can be decomposed into parts sharing the same structure.
Similar processes may be at work in clusters of Wikipedia articles sharing the same structure and related by gradual editing [30, 31].
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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