Brown ground round, chorizo (remove from sleeve) and onion in a skillet and drain.
Don't overcook meat as it will simmer for 2 hours.
In an 8qt. pot (or crockpot if preferred) empty cans (all un-drained) of tomatoes, puree, beans. Add the 2C water. (amount of water may be adjusted according to your preference if you like a more soup-like chile).
Add browned meat, onion and the chopped green peppers.
Add the chile mix omitting cayene pepper if you don't want your chile to be too spicy.
Simmer on very low heat for two hours.
Serve hot.