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The phrase "and the second study" is correct and usable in written English.
It can be used when referring to a specific study that is being discussed or compared to another study in a text.
Example: "The first study showed significant results, and the second study confirmed these findings with a larger sample size."
Alternatives: "and the following study" or "as well as the second study".
Exact(50)
Nastech has completed two safety and efficacy studies in men, and the second study in women is currently under way, the company said.
The first study was performed in 18 different areas in five European countries and the second study in the city of Gothenburg in 14 different areas.
The first study used daily surveys to track employees' feelings and activities at work over two weeks; and the second study used paired survey responses to link employees' activities and feelings with what their supervisors observed.
The first study employed 0.8 ng/kg LPS in a within-subject design of 8 individuals (1 woman), and the second study 0.6 ng/kg LPS in a between-subject design of 52 participants (29 women).
The resulting datasets were analyzed in two studies [5,6], one describing the basal status of microglia with or without EP2 deletion, and the second study analyzing the microglial response to Aβ.
One study sorted and sequenced individual viral particles from a bacteriophage culture of lambda and T4 of Escherichia coli19, and the second study employed fluorescence-activated virus sorting (FAVS) and whole-genome amplification (WGA) to recover the genetic information of a pool of 5,000 sorted uncultured viruses from a marine sample20.
Similar(10)
Receiving a position-taking letter or not and, in the second study, in what manner this position was justified.
In the first study cerebral stimulus processing was recorded from 28 non-socially anxious participants and in the second study from 16 socially anxious individuals.
The median histological grade in the first study was 9.5 (4–13) and in the second study 11 (8–11).
MZ participated in the design, data collection and analysis of the second study and reviewed the manuscript.
Patients were recruited between 04/2004 and 03/2005 for the first study and between 07/2007 and 09/2009 for the second study.
More suggestions(18)
and the second trial
and the first study
and the second find
and the latter study
and the next study
and the third study
and the second studied
and the second found
and the second trials
and the second call
and the second factor
and the second head
and the young study
and the second bathroom
and the second matter
and the second woman
and the second floor
and the second reason
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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