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Sounds entirely possible.
Mating January-late March, gestation 2 months= birth in May, pups emerge from den about 30 days later= June, males leave approx 6-9mos old= Sept/Oct, females stay with pack.
From Wikipedia: "Female coyotes are monoestrous, and remain in estrus for two to five days between late January and late March, during which mating occurs. Once the female chooses a partner, the mated pair may remain temporarily monogamous for a number of years. Depending on geographic location, spermatogenesis in males takes around 54 days, and occurs between January and February. The gestation period lasts from 60 to 63 days. Litter size ranges from one to 19 pups; the average is six.[3] These large litters act as compensatory measures against the high juvenile mortality rate – about 50–70% of pups do not survive to adulthood.[26] The pups weigh approximately 250 grams at birth, and are initially blind and limp-eared.[3] Coyote growth rate is faster than that of wolves, being similar in length to that of the dhole.[27] The eyes open and ears become erect after 10 days. Around 21–28 days after birth, the young begin to emerge from the den, and by 35 days, they are fully weaned. Both parents feed the weaned pups with regurgitated food. Male pups will disperse from their dens between months six and 9, while females usually remain with the parents and form the basis of the pack. The pups attain full growth between 9 and 12 months old. Sexual maturity is reached by 12 months.[3] Unlike wolves, mother coyotes will tolerate other lactating females in their pack.[28]"
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