Sure, but why is it a given that the game group is all the same age? The groups I'm in vary from somewhere below the drinking age (never asked), to people in their 60s and above.
Now, granted, I'm 40 - I'm more likely to build a long-term friendship with the older folks than the 20 year olds - but so far, everyone seems to be getting along fairly well, and I've had these people over at my house.
I have no comment on the dating aspect; I'm monogamously married, and have no particular opinion on the matter, though I will say that D&D leans so heavily male, I can count the number of women I've played with in the past six months on two hands without needing fingers. It's a problem in the hobby. :/
I've found a local group of friends by posting that I want to start a D&D campaign - I did this both online, and by literally putting up posters. Later, I joined a discord with the same intent.
I've run one campaign with some local friends, and am in two others with other people. We see each other at least once every two weeks.