The phrase "and thus the second" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from a previous statement, often in a sequential context.
Example: "The first experiment yielded positive results, and thus the second was conducted under similar conditions."
Alternatives: "and therefore the second" or "and so the second".
When the giant vessel Sapphire Princess docked at Vancouver after a trip to Alaska, it was found to have something remarkable impaled on its bow: a fin whale, the second biggest whale species after the blue whale, and thus the second biggest animal on the planet.
The angiographic performance measures of DREAMS were still considered inferior to those of contemporary drug-eluting stents, and thus, the second generation device (DREAMS-2G) was developed (Fig. 7a).
On the other hand, the distances between class means are unlikely to be identical in real-world applications and thus the second term in Equation 12 tends to be different for different classes.
However, with respect to the relevance of questions to the given discussion topics and to the usefulness of the questions, the human-generated questions are significantly better, and thus, the second and the third research questions can be answered in the negative.
Helium is the second least reactive noble gas, after neon, and thus the second least reactive of all elements.
This indicates that α s,long is smaller than α s,short and thus the second term in Eq. (17) becomes negative.
His daughter, the TV personality Maria Shriver, who is the wife of Arnold Schwarzenegger and thus the first lady of California, is much better known.
Because of previous complications stemming from local laws, this is the first season that the Dominican league players have been subject to suspensions, and thus the first season that the number of positive tests has been made public.
It would have been Roald Dahl's ninety-seventh birthday, and thus the eighth Roald Dahl Day set up in his honour by his widow Felicity.
In New York, one of the earliest states to have licensing laws, George F. Chamberlain of Harrison was the first to obtain a vehicle license, in 1901, and thus the first to have his name and address in a permanent file.
They are creatures, in other words, wholly dependent on snow and ice habitats sustained by them, restricted by them and adapted to them -- they are captive to the Arctic environment and thus the first to reflect a change.
