If you've already purchased an app and can't find it in the App Store and following the steps above hasn't helped, you might not have any luck. In addition, apps that Apple removed from the App Store won't even appear in your purchase history to begin with. While Apple allows you to redownload most apps, keep in mind that some of them aren't suitable for re-downloading. Now that you know how to find your app's purchase history, you'll probably want to download some of your old favorites.
On iOS 15 and iPadOS 15, you can easily find, search and redownload apps that you've previously purchased from your Apple ID account in the App Store itself. To see all the apps you've purchased on iOS 13, you need to go to your iCloud profile, which is visible in the App Store itself. Keep in mind that this tab is a bit misleading because it contains both the apps you've purchased and the apps you've downloaded for free.