Will working while sick pro-long the sickness?

I mean mental work. Right now I have the coughs and a runny nose, I am taking vitamin C, fluids and all that stuff but there’s just a lot of work i want to get done. Some research on some things and other mental work. I would be doing this all day every day, of course with breaks.

So I ask, if I do this, will it pro-long the duration of my sickness? I mean i heard you can’t really get “rid” of a sickness or “cure it”, as it usually lasts 7 days. So if you can’t really cure it then i’m thinking maybe you can’t pro-long it as easy neither. ??