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https://theathletic.com/2509991/2021/04/09/why-the-maple-leafs-traded-for-an-injured-riley-nash-for-their-playoff-push/
While Andersen?s injury status is uncertain, it?s expected he will be able to return to the lineup relatively soon. Sources indicate his prolonged absence has more to do with an abundance of caution and not wanting him to play any more games hurt than the Leafs trying to keep him in LTIR the remainder of the regular season.
So if Mirtle has it right, they won't be using Andersen's cap space.
In that case, it would look like they made the LTIR moves just to get Nash so the trade was about getting nash and not making room for a bigger trade.