How to keep dust from getting in my otter box?

I have an iphone 4 and a defender series otter box on it. I put it on about 2 weeks ago and there's so much dust under the screen. Every time I take my case off it gets more and more stretched out which is why I had to replace the case in the first place. If I put a screen protector on the phone then put the otter box on would that help? Or would that do just desensitize the screen?

Put it in a sealed container after using.

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