For every car I ever owned before this year, they recommended an oil change every 3,000 miles (a little more than two months for me) or at most three months. I don't know if they got that much better or the recommendations were loosened to match observed problems.

Most modern cars can/do use fully synthetic oil, which can last ~10k+ miles.

2013 or newer yes, but anything older it's recommended ever 3000 or less.