Its commonly said that you can do this if all conductors are insulated for the same voltage, 300.3(C). But most miss the note at the bottom that sends you to Article 725, which says you can't.
The NEC does not care if you induce noise on your Belden. The concern in the NEC is the danger if the insulation was damaged then you would have 120 Volts on the limited energy terminals or equipment.
Yes art 725 is confusing, but there are three classes of circuits
Class 1 is equipment that is wired with a chapter 3 wiring method, and can run in the same raceway if functionally related. There are two types of class I circuits, power limited and non power limited.
Class 2 is a circuit where the power and voltage is limited, think doorbells
Class 3 is a circuit with higher power levels than a class 2, think nurse call.
Art 725 gives us an alternative wiring method that is safe due to the lower power levels
If your instruments are a class 1 circuit then you can have in the same raceway if functionally related. you need to look at the circuit power and voltage, or equipment.
Most PLC circuits are Class 2.
Now, practically, you won't get any induction from 120V, as the belden is shielded and twisted pairs.
With 277/480, you might get some induction.
I have a nice chart on Art 725 I will post it later today