To strain or not to strain....

....should I?
..I mean....juice is absolutely liquid, as I put a quite fine strainer directly on the glass under the juicer, where the juice is collected....but it's still....not clean, not coloured water-like....seems to me that there's something very very VERY fine suspended....I was thinking to use cellulose paper filters, but it would be VERY time-wasting..
..is it normal to have a quite torbid (but liquid) juice, o it would be better to have a totally limpid one? An I still getting some fiber, or I can stop worrying and start enjoying my juices?

2nd day now, I still can't know if detox mode is on, but I'm not hungry and I feel like I had some wool on my tongue....I would HATE an useless, time wasting fast, so please reply soon....please..:)

BlessedBe
Eym