Does invoicing a sales order recalculate freight amounts?

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I am having an issue where a balance is showing up on a customer's account.

When I look at the invoice in MAS, the freight amounts don't seem to be what I expect.

The sales order was created and the freight amount was set explicitly. Then once the order is invoiced, the freight amount on the invoice does not match the freight amount on the sales order when viewed in sales order quote history.

So, does invoicing the order cause the freight amount to be recalculated?