Right, but the light from those distant galaxies has reached us, no? How could any light reach us that was more than 14 billion light years away, if indeed the universe is only 14 billion years old?
Yes, we can only see the "observable universe", those portions which have not (yet) expanded away too far for their light to not have had enough time to make it to us.
Yet we CAN see, or detect, the microwave background, a remnant of the 'aftermath' of the Big Bang, now red-shifted to microwave radiation frequencies.