chase after (something)

Translations
гнаться за (чем-то)
Many people spend their lives chasing after wealth and success.
Многие люди проводят свою жизнь, гоняясь за богатством и успехом.
Definitions
To pursue or follow something with the intent to catch or obtain it.
Words
chase

verb
преследовать
after

preposition
за
something

pronoun
что-то