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The phrase "and the second system" is correct and usable in written English.
You can use it when referring to a second system in a context where multiple systems are being discussed or compared.
Example: "In our analysis, we will evaluate the first system and the second system to determine their effectiveness."
Alternatives: "as well as the second system" or "along with the second system".
Exact(13)
Thus, the transformation of P between the first system (x, y) and the second system (x′, y′) is given by the equations x = x′ + h and y = y′ + k.
We will show that the first and the second system approximations will result in very close CBP and CDP values.
It make the first system synchronize with the second system, and the second system synchronize with the third system.
Two MFC devices were constructed with one using seawater from the Atlantic Ocean and the second system using seawater from the Gulf of Paria.
We list two examples of (1.10) - the first system (5.1) is from [14] and the second system (5.2) is discussed in [17].
The first one was based on the set of 20 rules proposed by [11], and the second system one followed the approach described in [12].
Similar(46)
The first system consists of loose components and in the second system the components are integrated.
Energy of electrons bombarding the chamber walls and the anode of the second system is two times lower than the energy of singly charged ions bombarding the substrate.
Product gas is converted in a micro gas turbine (MGT) in the first system, in a solid oxide fuel cell (SOFC) in the second system and in a combined SOFC MGT arrangement in the third system.
The second system identifies and tracks (a limited number of) discrete elements in an environment.
HSP argued strongly for the second option, and convinced the owner to install the second system.
More suggestions(15)
and the second scheme
and the third system
and the secondary system
and the latter system
and the second device
and the second cost
and the second computer
and the next system
and the second model
and the first system
and the second systematic
and the financial system
and the solar system
and the second call
and the second factor
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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