Legal practice is carried out by government-appointed lawyers and other specialists.
Literal
Legal-practical work [topic-は] government [subject-が] appoints lawyer, other-of specialists [subject-が] perform-[scheduled-ことになっている]
Several pieces of formal written Japanese. 法律的な is 'legal, related to law' (the suffix ~的 productively forms adjectives from nouns). The relative clause 政府が任命する modifies 弁護士 with no relative pronoun. ~ことになっている expresses an institutional arrangement ('is supposed to, is set up so').