As long ago as 1914, an article by the grammarian George O. Curme made the point that more than can modify the verb of an infinitival complement, and since it must be adjacent to the verb, that actually forces a split infinitive: shifting the more than modifier to anywhere else creates clear ambiguity. I found a small measure of comfort in seeing that even The Economist, so often driven to deleteriously unnatural phrasing in its efforts to avoid split infinitives, acknowledges this grammatical imperative. In the November 26 issue for 2016 (online here) we read:
A string of purchases of A380s, starting in 2008, helped traffic to more than double to 51m in 2015.
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