No Roddy your area must be zoned for horses. I know, I grew up in Horse Town, USA; (serious about the title :rofl
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Within a city there is usually no horse trails, no feed stores, short fencing, noise laws...etc...smell and hygienic issues arise when so many people live so close (in a city) and certain animals are limited or banned.
Chickens, for example, are allowed in my city limits. But only 10 per acre, wings must be clipped, and no roosters (noise/breeding reasons). In the county I grew up in (horse capital) there was a 30 per acre limit.
But in a city a horse could not walk on pavement constantly, would tear up grass easements, there are no horse trails to absorb the droppings and no one is gonna clean it up, and neighbors in close living conditions would not like a horse in the 3rd floor apartment.
"Not in my town Cowboy!" hahahaha