Watch the Add The Maj 3rd: Over Dom online guitar lesson by Rob Garland from The Guitarist's Pentathlon

The licks I played in this example are based around moving from the b3rd to the major 3rd. Experiment starting a line with a minor tonality hitting the b3rd and then finishing it resolving to the major 3rd. For an ultimate resolution play the major 3rd followed by the root, feels like home.