There's a difference between [i:], [i] and [I].
[i] usually appears in unstressed syllables (like been, for example

) and it's the short variant of [i:].
[I], however, is slightly different, it's a bit more open than the usual i sound in the Slavic languages and of course [i:], which in turn is a bit like a diphthong.
So, 'leave' is long AND CLOSED, while live is short AND OPEN.
Also have a look at this:
BBC Learning English | Pronunciation Tips