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It is not normal.
Your hormones are not in balance.
Excessive androgen level will disrupt estrogen peak and there will not be any ovulation.
That causes progesterone deficiency.
Thyroid hormone deficiency, estrogen, progesterone, prolactin, 17 OHP, testosterone levels should be checked by blood tests.
Pelvic inflammatory disease also can cause infertility and irregular menses.
Other possibilities can be uterus fibroid, adenomyosis, endometriosis, cervical polyps, ectropion, endometrial hyperplasia.
These causes should be checked with pelvic ultrasound.
Combination oral contraceptive pill containing ethinyl estradiol and levonorgestrel will help to regulate cycle.