to show interest in something, especially a competition or challenge
何かに興味を示す、特に競争や挑戦に (nanika ni kyomi wo shimesu, tokuni kyousou ya chousen ni)
"I decided to throw my hat in the ring and apply for the leadership role."
"私はリーダーシップの役割に応募するためにリングに帽子を投げることに決めました。" (watashi wa **rīdāshippu no yakuwari ni ōbo suru tame ni ringu ni bōshi o nageru** koto ni kimemashita)
taking advantage of a current trend or success
a series of events triggered by one event
acting legally; not breaking any laws
good times follow bad times
to forget past disagreements and forgive each other
to start over or make a fresh beginning