Hello, and welcome to the forum!!
I'm assuming your CA level is actually your CYA--stabilizer--and if it's actually 45 ppm, you need to be keeping your chlorine at 3-6 ppm at all times in order to keep algae away. The fact that your CC is greater than your FC means that you definitely need to shock the pool. With a CYA of 45, that means reaching a chlorine level of 15 ppm and holding it there until you're no longer losing any chlorine overnight and your CC is zero. You can use plain, unscented bleach to do this, which is probably easiest, but if you use the "shock" that you have on hand (I'm assuming that is dichlor?) you really should pre-dissolve it in a bucket of water before putting it in the pool to keep it from clumping up.
There is no such thing as chlorine lock. From looking at your numbers, it looks like you probably have an algae bloom trying to happen, and it's consuming the chlorine as fast as you put it in, hence the need to shock the pool.
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