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The phrase "and thus omit" is correct and usable in written English.
It can be used to indicate that something will be excluded or left out as a result of a previous statement or action.
Example: "The report was too lengthy, and thus omit unnecessary details to make it more concise."
Alternatives: "and therefore exclude" or "and consequently leave out".
Exact(2)
This makes for a wildly counterintuitive deontology: surely I can, for example, justify not throwing the rope to one (and thus omit to save him) in order to save two others equally in need.
The present study contains transcriptome data, which enabled us to search the expressed sequences directly for ORFs, and thus omit other filters.
Similar(58)
Proof: The proof is straightforward, and thus omitted.
For the other cases the proofs are similar and thus omitted.
The proof is similar to that of Theorem in [35] and thus omitted.
The proof is a direct application of ([29], Th 10) and thus omitted here for simplicity.
The proof of this lemma is straightforward and thus omitted from the paper.
The proof of this lemma is straightforward and thus omitted from this paper.
The proof is quite similar to that of Theorem 3 and thus omitted here for brevity.
The proof of this lemma is similar to [19] and thus omitted from the paper.
The rest of proof is similar to that of Theorem 1 and thus omitted here.
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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