Hi Kat, I exercised a lot before LL and have done since starting. My LLC told me that if you have always exercised then you can carry on but she did say to calm it down in the first few weeks whilst your body got used to being in ketosis. But after them few weeks I was fine. I think they say you shouldn't do it due to the fact that some people havn't exercised in years and it may affect their body a lot more than someone who is already active.
As other people have said, if you want to do it then go ahead but do listen to your body. You do seem to be fairly active anyway so i think you will be fine.
Enjoy x x