to actively pursue one's ambitions or desires
自分の夢や野望を積極的に追い求める (jibun no yume ya yabō o sekkyokuteki ni oimotomeru)
"He left his hometown to chase after his dreams of becoming an entrepreneur."
"彼は起業家になるという夢を追い求めて故郷を離れました。" (kare wa kigyōka ni naru to iu yume o oimotomete kokyō o hanaremashita)
to discover the real cause of something
to spread gradually from the wealthy to the less wealthy; to...
to actively try to achieve your ambitions
to return to a topic once something else has finished
to publicly support or defend someone or something
to persuade someone to accept your opinion