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The phrase "asserted with the same" is not complete and lacks clarity in written English.
It could be used in contexts where you want to indicate that something is being asserted in a manner similar to something else, but it needs additional context to be fully understood.
Example: "The findings were asserted with the same confidence as the previous studies, leading to a stronger conclusion."
Alternatives: "stated in a similar manner" or "declared with the same certainty."
Exact(1)
Much cross-talk ensued as the aides continued trying to hustle reporters out and Mr. Gore asserted, with the same rote-like repetition with which he famously said that there was "no controlling legal authority" over his fund-raising techniques, that he was not taking a single vote for granted.
Similar(59)
"Certainly I can be stopped," he asserted in the same interview.
It is thus possible for two individuals in different worlds to assert exactly the same propositions, and yet differ with respect to having asserted a true proposition.
Friends of mine in Baghdad asserted the same.
Egyptians, Syrians, and Tunisians alike asserted the same demand.
Sennett asserts much the same but keeps his leftist credentials in his pocket.
However, we assert that the same degradations that affect recognition can also affect the segmentation performance.
If, within a world, two individuals assert exactly the same propositions, then they are exactly alike vis-à-vis having asserted a true proposition: the one asserted at least one true proposition if and only if the other did.
We cannot assert the same comparing nearly equiangular frames to incoherent UNTFs obtained with [26] and [30].
Mr. Bush would be asserting the same power to take on a shadowy network of adversaries with no geographic boundaries, in a conflict with no foreseeable end.
And MM asserts the same for the wider class of partial orderings that, when forcing with them, do not destroy stationary subsets of $\omega_1 $
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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