The phrase "as he eventually does" is correct and usable in written English.
It can be used to indicate that someone performs an action at a later time, often after some delay or after a series of events.
Example: "He hesitated for a long time before making a decision, but as he eventually does, he chose to follow his instincts."
Alternatives: "as he ultimately does" or "as he finally does".
He found that he could not extricate himself from this dilemma by reducing his demands, as he eventually did, to the absolute minimum required for his security.
Landis did not mention that he would publicly accuse others of doping — including the seven-time Tour de France winner Lance Armstrong — as he eventually did in e-mail messages recently sent to top cycling officials.
She also told him that if he robbed the bank in the early morning — as he eventually did, the authorities said — he would find only three employees present, one of them herself, the complaint said.
In the end he seemed pleased with the results, congratulating the director, Basil Coleman, for his ingenious solutions and even hinting that he might one day be tempted to compose an opera expressly for television, as he eventually did, in 1970 with "Owen Wingrave".
An especially clever feature of the bet is that it anticipated Simonsig would run in the Neptune Novice Hurdle, as he eventually did, at a time when most people expected him to take part in a different race at the Festival.
KT&G has not made clear how it intends to fend off Icahn's bid, though if it hopes he will back down, as he eventually did from Time Warner, Kwak should expect some extensive parleying.
Choi, despite his misgivings, attended the Victoria Park vigil, just as he eventually did last year.
Few will relent on their demand that Obama release his undergraduate college transcripts, as he eventually did his long-form birth certificate.
The original impetus for guaranteeing CSR payments was to avoid disruption, since insurers had been counting upon those payments and Trump was loudly threatening to stop them (as he eventually did).
The 28-year-old took it, thinking the extra money would give him time to find a steady job — which he eventually did as a manager of a Koreatown seafood restaurant.
