The first batch are very wordy; the repetition of 'and' or 'and the fact' makes them sound more simplistic than the original, especially the second, where the restatement of the 'working side-by-side' part makes it a clumsy sentence. It would be much simpler if you used 'which pushes' instead.
In the second batch, there's a similar issue; not that of grammatical correctness, but that your conjunction 'and' does not provide the link that the original had, forcing you to add a lot more to recreate the oriiginal meaning. In the third group, this is less of a problem, so the sentences read better, though I would question the use of 'because' in the third. In the last, the simple use of 'which' would work better and avoid convoluted repetitions with 'the fact'. Another way to do it would be to use a full-stop or semi-colon and then use 'this', which would provide the connection.
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