The phrase
I just noticed now [...]
seems to be quite common, as a google query reveals. However, I am wondering why is simple past used here, and also why not "justly" instead of "just"?
Should it not be present perfect, i.e., "I just(ly) have noticed [...]"?
Surely, using "justly" sounds strange, maybe this is the reason why this is somehow an exception to the rule? Or is there any other explanation? Also for the tense used?