Pat the beef dry to help it brown nicely. Season generously with salt and, if possible, leave it uncovered in the fridge overnight to dry brine. If you don’t have time, just move on to searing.
Heat a large Dutch oven (you want an ovenproof dish with a lid and heavy bottom) over high heat. Add a drizzle of oil, then sear the beef until well browned but definitely not cooked, then set aside. You just want some color.
I like to blitz the carrots, celery, garlic, and onions in my food processor for a quick fine dice. But you can also do it by hand. Add the diced vegetables to the same pan in which you seared the beef, with a little salt and pepper. Cook for about 5 minutes.
Stir in the tomato paste and the red wine. Let it cook for a couple of minutes. Heat the oven to 355°F (180°C/160°C fan).
Add the bay leaves, thyme, Parmesan rind, and chopped tomatoes to the pot and the stock. You want enough stock to almost cover the beef – around 1 1/2 cups (350 ml), but could need as much as 2 cups (500 ml), depending on your pan. Bring everything to a gentle simmer, then nestle the beef back into the sauce. Cover with a lid.
Cook low and slow for about 2 1/2 hours in the oven. If you’d rather, you can do it on the stove on a really low simmer for 2 hours, until the meat is falling-apart tender.
Shred up the meat and add it back to the sauce.At this stage, you can refrigerate the ragu for up to 3 to 4 days and reheat when needed. Then boil the pasta in well-salted boiling water and then drain. Add the pasta to the pan of ragu. Add a few spoons of pasta water and toss together. Top with Parmesan and fresh parsley or basil.