I came up with this sentence below.
Is it possible to put 那么 after 得?
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You have misused the complement. We say:
If you want to express she has cried many times, then you should say 她哭过很多次了.
So, your issue is 多了 isn't a correct complement for 哭. When you say 那么多了, you don't need 得. For example, we say 说(了)那么多了，we don't say 说得那么多了. 得 is just redundant here.