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Leukocyte esterase in urine indicates white blood cells associated with an infection. It may be such a low grade infection that no specific bacteria grew on culture. Mucous cells line the urinary tract so their presences isn't significant. It is also possible the cells were from the vagina rather than the urinary tract since it is difficult to get a clean sample without catheterization.
A repeat of the lab test is in order. If you are having repeated symptoms of a urinary tract infections, you may want to see a urogynecologist. There are treatments such as long-term low-dose antibiotics as well as topical estrogen to improve atrophy that makes infections more common in women after menopause.
Just the results of the lab test given are not indicative of a specific diagnosis. Once you have the repeated test, they are going to have to look for a specific cause. If there are no problems with urinary retention or other structural abnormalities, then a trial of topical estrogen may be helpful for you.