This is the correct application, yes? Not dually noted?
Yes, you only need to note it once. 
Yes, “duly” as in duly elected.
Another pet peeve of mine. Not as bad as people who refuse to acknowledge the difference between your and you’re.
I’m one of those people! But not really, because I do acknowledge the difference, and know full well which is which, but when I’m typing fast I’m shocked how often I’ll use the wrong one. Same thing with there/their. I’m sure its some sort of brain glitch some people have. Of course, lots of people really don’t know the proper usage, but it’s not always them that are screwing up.