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My problem with this line of thinking is that the terrorists can't be defeated. It's like trying to wage a war on murder, or theft. There will always be thieves and murderers and in the Middle East, there will always be jihadists. The best we can do is to set up a stable government in Iraq that can deal with them as best they can and leave them to their own devices.

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The groups which are organizing these attacks can be themselves attacked, have their funding cut off, receive less popular support, etc.

The goal is is to greatly reduce things of that nature, not eliminate them entirely. Also, the organized groups of jihadists can be attacked and disrupted in various manners.