This is quite a complex sentence. There got to be a complex grammatical form used in this sentence.
As Edison's notoriety skyrocketed, so did the sales figures
I've searched "As....so did grammar" on google no luck.
It is an alternate form of positive agreement using "so. You made more money. So did I.
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It is an alternate form of positive agreement using "so.
You made more money. So did I.
As you made more money, so did I.
As Edison's notoriety skyrocketed, so did the sales figures.
It's a comparative construction that bears some resemblance to a correlative comparative construction. Compare:
[The more Edison's notoriety skyrocketed], the more the sales figures did
where the bracketed element is a subordinate clause functioning as a