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I am afraid the regulation of household pets is a local government function, which means government can pass laws limiting the number of pets. Under Yorba Linda Ordinance 6.16.080, everyone having more than 4 dogs and/or cats must have a special permit, this is in addition to the fact that every dog or cat must be licensed in the city as well under Ordinance 6.16.020.
I am afraid that there is no exception in the ordinance for waiver of fees or waiver of license and you do not have to lose your pets, but you would have to comply with the city ordinances and apply for the licenses and permits required or be fined and they can come in and seize the animals which would be horrific.
Legally, I am afraid they have the power to do this and you could not even go to court to try to argue that the dog is a service dog and allowed under the Americans with Disabilities Act, because this is more than one dog and the ADA would work for one dog, but not for 11 I am afraid.
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