Chemical pregnancy?

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I tested positive on a FRER and Clearblue digital on the weekend- AF was 4 days late at that point (could be less, my periods have been a little off since a miscarriage in June). Went to the doctor today and did a urine test, line was faint. Planned on going to do the bloodwork tomorrow. This afternoon I started bleeding (today would be 5 weeks)- is this how a chemical pregnancy goes? Anyone with experience?