Hi there,
I am new here, and late to the conversation, but maybe i can provide some more information about brine/cure. Because there is in fact a difference !
First, a brine is just a solution made of water and salt, and sometimes other ingredients (nitrate, nitrite, sugar, spicies).
That said, you can use a brine solution, to brine OR to cure !
If you just brine, for exemple a turkey, your intention is to give flavor and moisture to the meat through osmosis. This processus can take a few minutes (if injected), or a couple hours (even 2-3 days). For this operation, you may or may not use nitrate and nitrite.
Now, you can also CURE meat using a brine solution where your intention will be to preserve the meat for a longer period. When doing so, you will definitly use nitrate and nitrite for longer conservation period. This process may take up to two months depending on the weight and thickness of the meat. A 3 inches brisket that you soak in brine WITHOUT injection will take 14 to 20 days to cure.
Finalle, let's just say that i often use a brine solution to add flavor to my fish, poultry or turkey, i let them soak in the brine for a few hours. On the opposite, i cure my beef brisket using a combination of process where i inject brine in the beef and then soak it in brine (this is quicker, maybe 7 days for a 3-3.5 inches thick brisket) ...
I hope that helped and sorry for my english !