what is the difference between “Cross Fit” and “Cross Train”?

I own a CF gym.

@paul is correct. CrossFit with the capital F is a trademark. It cannot be endorsed or marketed unless the trainer is L1 certified. A gym cannot promote classes unless it has an affilation with CF.

Cross training is a type of training and can never be trademarked.

Heres my gyms website: http://www.crossfitnaples.com