Make this text more logical:
No person is eligible to serve as a member of the Legislature if they are serving as an officer of the United States or State government. Any person who has been adjudged guilty of a felony is not eligible to election to the Legislature.
No person is eligible to serve as a member of the Legislature if they are serving as an officer of the United States or State government. Furthermore, any person who has been adjudged guilty of a felony is not eligible to election to the Legislature.