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Although and even though admit one fact and then say something that contrasts with it: the second fact is true in spite of the first. After them you need a full clause with its own subject and verb.
Although / Even though + subject + verb, main clause
While and whereas compare two things that are different: two sources, two groups, two periods. Nothing is unexpected here — the sentence simply balances one fact against the other.
clause, + while / whereas + clause
Although shows that the second fact is surprising; whereas only shows that two facts are different. At the start of a sentence, while can also mean although: While the data is useful, it is incomplete.