There exists a rumor that one does.
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They do and they don't cost money. There is a free app section in iTunes and the App Store where you can download apps free of charge. There is also a Paid-for app section where you have go pay to get the app.
sure you can download an app called "apshopper" with that app you will know which paid apps are given for free just for today. each day thousands of paid apps are offered for free for a few hours. Another way is to register with http://appiration.com and get not only apps for free but earn a little bonus. All for reviewing the apps. You can also check appbox.tinyviews.com everyday to get paid apps for free without jailbreaking.
you can check out vshare.com which is a global third party ios app assistant for letting jailbreak and unjailbreak users to download massive paid ios apps and games for free!
you cant download app which cost for free if you download it it will cost you and you will have to pay for it, if you dont want to pay for apps only download apps which are free.
If you remove a paid application you can simply re-download it free of charge from the iTunes App Store.