Millions of years, and last time I checked, modern science hasn't been around that long.
We have these things called the fossil records, that do show larger changes occurring over larger amounts of time. Isn't the whole basis of religion to believe in more than you can see? Sure, we weren't there to witness those changes, but we do have evidence of them.
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Last time I looked at the fossil record, it showed many fossils of different species put close together due to their, but there are no transition fossil between these species. An incomplete fossil record without any 'missing links' is not sufficient enough to support the hypothesis.