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The phrase "and thus a second" is correct and usable in written English.
It can be used to indicate a consequence or result that follows from a previous statement, often in a formal or literary context.
Example: "The first experiment yielded promising results, and thus a second was deemed necessary to confirm the findings."
Alternatives: "and therefore a second" or "and so a second".
Exact(7)
And thus a second, deeper problem emerges.
Most native proteins do not make optimal drugs and thus a second- and third-generation of therapeutic proteins, which have been engineered to improve product attributes or to enhance process characteristics, are rapidly becoming the norm.
Nevertheless, the residual vectors incur significant conversion overhead compared to cepstral conversion and thus a second, less strict, threshold rule can now be applied on the residual vectors only to further reduce the residual conversion overhead.
The basal Hsp83-regulated Rab GTPase dependent recycling apparatus may not be able to cope with the large turnover of activated Mysopheroid after parasitization, and thus a second Rac-regulated pathway is induced.
One new marker, SmicSy6, is a proximal marker to SPF and, thus, a second index for SPF.
However, other peptide subgroups with reduced net charge, such as N-acetylated tryptic peptides, will also exhibit a shorter retention time, and thus a second level of enrichment is required to separate coeluting nonphosphorylated peptides from phosphorylated peptides [ 54].
Similar(53)
Syracuse will play at Georgetown on Saturday, with the winner seemingly assured of an N.C.A.A. top-four seeding and thus a first-round bye.
Interestingly, I initially hypothesized a fifth key conifer, Sitka spruce (Picea sitchensis), and thus a fifth call type (Benkman 1993).
Both for the CERCER and the CERMET fuelled core the design and safety analyses are close to completion in EUROTRANS and thus a first preliminary résumé can be drawn on the achieved design and safety goals.
Backhurst examined Madame Nikorowicz's baptism, marriage and death, and gives her name as Marie Victoire de Thorigny, and Backhurst suggests that she was more likely to have been the illegitimate daughter of Jules, Prince de Rohan, brother of Ferdinand and thus a first cousin to Victoire Adelaide.
Most big reforms need constitutional amendments, and thus a two-thirds majority, as do appointments to the Supreme Court (by the Senate).
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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