Kentucky pages and Indiana pages are two site sections, not one service area list
Jeffersonville, New Albany and Clarksville sit in a different state from your office, and a searcher there reads your site looking for a reason to rule you out.
The metro crosses the Ohio River. Clark and Floyd County homeowners search with Indiana words, get Indiana results, and assume a Kentucky company is somebody else's problem. A line reading "serving Louisville and surrounding areas" does nothing to change that assumption.
Build the Indiana side as its own section of the site: a page for Jeffersonville, a page for New Albany, a page for Clarksville, each with work you actually did over there and each saying plainly that you cross the bridge. If you do not cross it, say that too. Ruling yourself out on the page is cheaper than ruling yourself out on the phone.
Licensing, registration and tax treatment generally differ between the two states, and the details change. Say what you hold and where, keep it current, and confirm the specifics with the relevant state or local building department and your own counsel rather than publishing a claim you would have to defend.
Three real Indiana pages beat thirty thin ones. Thin town pages that swap a name in and out are the fastest way to make a site look automated to both a reader and a search engine.