you absolutely can have cooked LC veggies!

If you ever have a constipation problem with this way of eating, you might want to eat only raw ones (you lose fiber in the cooking process), but otherwise, mix it up to keep yourself from getting bored.

Asparagus, cabbage, brussel sprouts, peppers, cauliflower, turnips, leafy greens, summer squash, and mushrooms are also excellent choices for cooked veggies in addition to the two you mentioned, and there are many more choices.