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The phrase "arise within the same" is correct and usable in written English.
It can be used in contexts where you want to indicate that something emerges or occurs within a specific situation or context.
Example: "Conflicts may arise within the same organization if communication is not prioritized."
Alternatives: "emerge within the same" or "occur within the same".
Exact(3)
Still untested, however, is whether alternative, parallel paths to fitness also arise within the same population in a constant environment.
While some of this diversity arises from polyploidy (e.g. Ophioglossum petiolatum, 2n = 32 x = c. 960, and 1C = 65.55 pg, see [ 10]), genome size changes can also arise within the same ploidy level in some genera.
For example, the synaptic connections of axons that arise within the same cortical column in the neocortex preferentially innervate the proximal basal dendrites of pyramidal cells (Markram et al., 1997; Feldmeyer et al., 2002).
Similar(57)
To our knowledge, this is the first report where parallel independent duplications arisen within the same region in human and chimpanzee genomes give the best explanation for the observed structural differences between two sister-species.
You could see the same collective intelligence arise within the smart fridge.
Doesn't this same issue arise within the legal realm?
Pituitary adenomas arise within the pituitary fossa.
Other tensions arise within the group.
That new species did not arise within the duration of the study hardly challenges evolution!
They arise within the functioning of the organization.
How these sinusoids arise within the enamel organ is unknown.
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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