The phrase "actually pertains to" is correct and usable in written English.
It can be used when clarifying the relevance or connection of a subject to a particular topic or context.
Example: "The discussion we had yesterday actually pertains to the upcoming project deadlines."
Alternatives: "is relevant to" or "is related to".
The constraints of this model actually pertains to the buyer's annual demand and quality of receiving materials, on one hand, and the suppliers' allocable capacity, on the other.
Instead the City Attorney claims authority to issue fines under Section 63 of the Police Code – but that code section actually pertains to "Obstructions on City Streets and Sidewalks," and doesn't regulate parking at all.
Regardless of the political climate, it's rare to see art in a white-walled gallery that's not mostly white washed; to see an exhibition that actually pertains to lives of the marginalized people that exist outside.
Moreover, of the few well known philosophers cited, only one, J. G. Fichte, gave the subject more than a passing reference – and most of what Fichte had to say actually pertains to nationalism, rather than patriotism (see Busch and Dierse 1989).
Well, his words actually pertained to fairy eggs – floating seashore objects – and also stories themselves, seen as dubious by some, and magical by others.
Only a few of its voice-enabled functions actually pertain to thermostat features.
We'd be concerned, too, if only the hyperbolic claims being thrown around actually pertained to these bills.
We attempted to address the stereotypes imposed upon us by showcasing their underlying truths: the places and peoples they actually pertain to".
Or that his dramatic claim of WMD deployable "within 45 minutes," which the public took to mean against, say, them, actually pertained to battlefield chemical weapons.
I have different views about graduate level education because I am taking classes that actually pertain to my field; whereas during undergrad, I was forced to waste precious time on pointless classes about theories I'll never use).
It should be emphasised that these are potential problems: more research is needed to determine the extent to which such problems actually pertain to current syllabi.
