Conn. Gen. Stat. § 38a-244

Nothing contained in sections 38a-230 to 38a-245 , inclusive, is intended or shall be deemed or construed to apply to any group legal service plan, corporation, trust fund established under Section 302 of the Labor Management Relations Act, 1947, or arrangement whereby a group or association of any type retains attorneys on a full-time basis or retains an attorney or private law firm to render legal services to the members of such group or association, or the dependents or beneficiaries of such trust funds.