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The phrase "and demonstrates the same" is correct and usable in written English.
It can be used when you want to indicate that something shows or illustrates a similar point or quality as previously mentioned.
Example: "The study provides compelling evidence of the theory's validity and demonstrates the same in various real-world applications."
Alternatives: "and illustrates the same" or "and shows the same."
Exact(2)
The result is shown in Fig. 5 d) and demonstrates the same X-shaped zones.
It is identical to human plasma-derived C1-INH at the amino acid level and demonstrates the same inhibitory profile as plasma-derived C1-INH.
Similar(58)
We investigated CeO2 films as an AR layer because they have a proper refractive index of 2.46 and demonstrate the same lattice constant as the Si substrate.
In brief, optimal design parameters are determined by certain range of filling fractions, Δ f Si = d Si / a, that correspond to the central part of the resonance lines within the SB on the GM and demonstrate the same improved optical characteristics, λ s and Q. Depending on the order of the SB and the resonances within it, this Δ fSi range varies.
In fact, even in 2015 women are still vilified for being competitive in sports and demonstrating the same level of passion for their field as men.
The president, who has a long, outrageous record of straight-up not paying people who worked for him, is doing the same thing to hundreds of thousands of public-sector employees and demonstrating the same lack of empathy on which he built his brand.
These antigen-specific and differentiated CD4+IFNγ+ and CD8+IFNγ+ effector cells were generated at the same frequency and demonstrated the same cytokine-producing potential from Lmna-/ and Lmna+/+ cells within the same mixed bone marrow chimeras.
Four of these tumors were propagated as immortalized cell lines and demonstrated the same mutations as the original tumor.
Constitutional DNA from this patient was sequenced and demonstrated the same alteration, suggesting this represents a polymorphic variant.
Interestingly, 10% increase in background Cl− conductance (GClBk) showed similar magnitude as GKr and Gto and demonstrated the same effects in decreasing APD60 and Ca2+ peaks.
Daoy and D283 cell lines were also used to develop flank tumors and demonstrated the same dramatic upregulation of p65 in vivo.
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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