if she doesn't have a dominant follicle (so a large cyst on her ovary approx 18mm or larger at ovulation time) chances are she is not releasing a mature egg that is capable of being fertilised. it is possible her FSH (follicle stimulating hormone) levels are too low, hence the reason they are being tested on day 3 of her cycle
as to the ovulating properly question - she is obviously getting the correct hormonal fluctuations of estrogen and progesterone throughout her cycle, hence the arrival of her period each month, but they are sounding like anovulatory (no ovulation) cycles.
can i suggest you make not of all the questions you've asked here, and take them back to your doctor. it's obvious you're wanting to understand what is happening, and why, and as much as we can help you with knowledge of our personal situation, i do think you need to address your concerns to the doctor directly. ask them to explain what they're doing and why. i would be very reluctant to subject myself to treatment if i weren't understanding why
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