The most portable way to do it with minimal overhead is with sed:

  sed -e '/pattern1/!d' -e '/pattern2/!d'

  awk '/pattern1/ && /pattern2/'

For more ways see https://unix.stackexchange.com/questions/55359/how-to-run-gr...

These are good suggestions, but maybe it’s worth noting that one of the solutions offered in the article is not equivalent:

  tail -f /some/log/file |  grep -E 'thing1.*thing2'