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The phrase "and the system moves" is correct and usable in written English.
It can be used in contexts discussing processes, mechanisms, or systems in motion or operation.
Example: "As the clock strikes midnight, and the system moves, the new protocols will take effect."
Alternatives: "and the system operates" or "and the system functions".
Exact(4)
In our proposed CBTC network, the SA on the train makes handoff decisions at specific time instances according to the current state s(t), and the system moves into a new state based on the current state s(t) as well as the chosen decision a(t).
In VANETs with cooperative communications, the vehicles make decisions at specific time instances according to the current state s(t), and the system moves into a new state based on the current state s(t) as well as the chosen decision a(t).
The request is accepted and the system moves to either sub-state (2)—representing two migrations on the same network pipe with probability 1/3, or to sub-state (1,1)—representing two migrations on two different pipes with probability 2/3.
Note that the PL equations above and the associated transition graph describe the temporal order of signal propagation in the network when the first input signal is present and the system moves toward a steady state (where the concentrations of the components stop to change).
Similar(55)
Convection and outflow increased the next day, and the system moved slowly westward due to a ridge over Japan.
A weaker than normal high pressure system controlled the movement of the depression, and the system moved slowly to the west through its duration.
Shortly thereafter, the storm weakened, as the upper-level environment became more hostile, and the system moved over progressively cooler waters.
By removing the silyl ether group, dynamic exchange of the macrocycle was enabled and the system moved toward equilibrium.
This method is used to locate the switching points accurately and efficiently as the system moves from one subdomain into another.
In the scanning mode, the system moves continuously and collects data using only the GPR arrays and digital surface imaging.
As the presence of the system moves in and out of focus the EK becomes both collaborator and a smart tutor.
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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