Those arguments are presented in written briefs and sometimes in oral argument to the court at a hearing.
ðoʊz ˈɑːɹɡjuːmənts ɑːɹ pɹɪzˈɛntᵻd ɪn ɹˈɪʔn̩ bɹˈiːfs ænd sˈʌmtaɪmz ɪn ˈoːɹəl ˈɑːɹɡjuːmənt tə ðə kˈoːɹt æɾə hˈɪɹɪŋ.