The darkness of the line correlates roughly to the quantity. That's why it's supposed to be at least as dark as the control line to be considered positive - you're looking for a surge in LH, not just some being there. This is the opposite of pregnancy tests (although darkness also roughly correlates to quantity), when any line at all is positive, because hCG isn't normally present in non-pregnant women. LH is present in some amount for several days before the big surge that causes ovulation.
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This is a pretty good graph of how it would work in a typical cycle (I think the pink line is progesterone, though it's not labeled):

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It is also true, as you said, that women with PCOS often have elevated LH levels throughout their cycle. I do. That can lead to faint lines all the time, even if you're not close to surging. I also know a lot of women with PCOS say they never get a true positive, even when charting shows they ovulate, and I'm not entirely certain why that would be. I got what I considered to be a +OPK my last cycle (which I got pregnant on!!), although the line was probably still a bit fainter than the control. But I'd been doing OPKs for about 20 days, and this one was definitely darker than all the other days. I wouldn't necessarily give up on ovulating yet. If you do have PCOS (and I don't think the faint lines on your OPK are really enough to prove that), you could have very long cycles. I ovulated on CD 34 this past cycle, and ovulated around CD 40 or 45 the two cycles previous. (This was after being anovulatory for about 2 years.)
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If you think you may have PCOS, I would definitely see a doctor about it, and ask to have your LH, FSH, DHEA, and testosterone levels checked. They will probably want to run a full hormone panel, anyway, if you're having menstrual irregularities. There are other things things that are also potentially part of PCOS diagnosis (menstrual irregularity, hirsutism, acne, being overweight, having the "pearl necklace" of cysts on your ovaries) that they should look in to. Unfortunately, there's no one way to diagnose PCOS - if you meet enough of the diagnostic criteria, you're considered to have it. If you have a doctor that tells you you don't have it based on one factor alone (e.g., you're not overweight, or you have regular periods), find a new doctor. Not meeting a single criterion isn't enough to exclude that diagnosis.
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Anyway, sorry that was so long... it took me YEARS to get PCOS diagnosed, even though I probably had it as a teenager, so it's sort of a soap box thing for me. But hopefully at least some of the info here helped, and good luck with TTC!!