Seriously are you asking me to "study" astronomy?
I was doing astronomical research (planetoids, variable stars, supernovae) 20-something years ago.
And M31 is not "almost" visible to the naked eye. It is perfectly visible unless you live under a light polluted sky.
The objects that I captured I think were just below the 17th magnitude.
As I said before extremely dim objects cannot be seen simply increasing the aperture because that is helpful only for point sources.
Hubble Space Telescope captured some of the most dim objects in the universe.
With a "very small" mirror compared to some much bigger on this planet.