Boil chicken; remove from bone, reserving broth. Brown beef with onions and peppers (do not drain).
In a large pot, combine beans, chili, vegetables, and tomato sauce and paste. Add chicken and beef, chili powder, salt, and pepper. Add 2 cups reserved chicken broth and enough water to make the mixture “soupy.” Cook on low to medium heat until hot; simmer about 1 hour, stirring occasionally to prevent sticking to bottom of the pan.