2 or 3lbs a week is a great loss!
I agree it would be nice to lose more, I know I would love to be back losing 6lbs a week but in reality the human body can't do that.
Just look at the math!
average daily requirement for female; 1500-2000cals
average daily intake; 600-800cals
'burnt off' cals; 900-1200 daily
therefore each week you are potentially burning off between 6300 and 8400 calories; 1lb of fat is 3500.
So, 2 to 3lbs a week is about right.
And no offence intended but I seriously doubt that anyone could eat sensibly-yet-little enough, be well nutritioned AND lose 2-3lbs each and every week, I really do. But then I haven't tried that myself, so who knows.
All I know is, whatever VLCD you are doing, it is guarateed to work, so long as you stick with it. And that to me is the important part; I bet it is for you too, otherwise you wouldn't have started CD, right?
Apologies if any of that sounds harsh / berating / arrogant on my part, I know that when I am feeling this way a "does of reality" is what turns me around
EDIT:
People on Atkins won't be getting anywhere near the level of nutrion you get from something like LL or CD. And yes they eat lots of fatty foods but remember, all that fat has to go somewhere; no matter how much weight they might be losing, all that fat is still passing through their bodies - thinking about it makes me feel quite ill TBH! :s