CILEx Level 6 subjects are honours degree level. I'm training to be a legal executive and I have two exams left, which I'm hoping to take in January.
A Chartered Legal Executive is a qualified lawyer in their own right, but there are also a couple of ways you can cross-qualify as a Solicitor. You could also convert your CILEx qualification into a law degree by taking the GDL and you could then qualify as a barrister.