Saute the carrots, onions, celery, and garlic: Heat olive oil in a large saute pan on medium high heat. Add the minced carrots and saute for 5 minutes. (If you are using bell pepper instead of carrots, add those at the same time as the onions.)
Add the chopped onion and celery. Cook, stirring occasionally until onions are translucent, about 5 more minutes.Add the minced garlic and cook for 30 more seconds. Remove from heat. Remove vegetables from the pan to a medium sized bowl, set aside.
Brown the ground beef: Using the same pan (or you can cook the meat at the same time as the vegetables in a separate pan to save time), crumble the ground beef into the pan. You will likely need to do this in two batches, otherwise you will crowd the pan and the beef won't easily brown.
Sprinkle with salt. Do not stir the ground beef, just let it cook until it is well browned on one side. Then flip the pieces over and brown the second side.
Use a slotted spoon to remove the ground beef from the pan (can add to the set-aside vegetables) and repeat with the rest of the ground beef.If you are using extra lean beef, you will likely not have any excess fat in the pan.