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The phrase "affect the network" is correct and usable in written English.
You can use it when discussing the impact or influence of one element on a network, such as in technology, social interactions, or communication systems.
Example: "The recent software update may affect the network's performance and connectivity."
Alternatives: "influence the network" or "impact the network."
Exact(59)
They also note that the show's huge draw on HBO does not drastically affect the network offerings.
Such factors also affect the network's data speed.
These features tightly affect the network performance.
Changes that occured that may affect the network included both adding and removing edges.
The number of outer nodes, k, and the maximum queue length, M, affect the network performance.
The body postural movements affect the network topology of the network, which results in link disconnection.
However, there are many other network failures that can occur and affect the network performance [20].
This may not suit the application requirements and may affect the network performance considerably.
Too less or too large number of neurons will affect the network performance.
Routing involves non-negligible operations, which considerably affect the network lifetime and the throughput.
Appropriate allocation of these streams can considerably affect the network cost estimation.
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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