The phrase "also by implication" is correct and usable in written English.
It can be used when you want to indicate that something is suggested or inferred in addition to what has been explicitly stated.
Example: "The new policy will improve efficiency, and also by implication, it may reduce costs."
Alternatives: "implicitly" or "by extension".
Love in this novel is idealistic and high-minded; it is also, by implication, rather afraid of sex.
It also by implication ruled out customs membership by proposing a detailed UK trade policy that we could only follow outside of the customs union.
"Barney's Version" is explicitly dedicated to Richler's memory, and also, by implication, to some of the cultural touchstones of his native land.
He also, by implication, challenged the Pentecostalists' theology, often a gung-ho message of prosperity through piety, with a forthright attack on capitalism's "disposable" culture.
It involves him in some significant giant-slaying as he takes on not only Noam Chomsky but also, by implication, Steven Pinker, although this hasn't inhibited the latter from providing a generous jacket commendation for the book.
That's the dilemma faced by the journalist hero of Stephen Frears's new film and it is also, by implication, the problem confronting the drama itself as it embarks on its task of spinning glucose into gold.
But what the bill also does, by implication, is pass on responsibility for American unpreparedness at Pearl Harbor to the high command in Washington at the time -- the most prominent of whom were President Franklin D. Roosevelt and Gen. George C. Marshall.
Mr. Kitzhaber, who was elected in 1994 and re-elected in 1998, also criticized, by implication, a range of state and federal officials who have called for more study of the issue.
It also cast, by implication, significant doubt that returning to negotiations would do much good: "In North Korea's view," it concluded, "the destruction of regimes such as Ceausescu, Hussein and Qaddafi was not an inevitable consequence of repressive government, but rather of a failure to secure the necessary capabilities to defend their respective autocratic regime's survival".
What was the alternative, get a divorce?" She is also irked by implications that her role as a lobbyist for Harlem's underfunded North General Hospital, where she served as director of community and government affairs before taking her current job, presented a conflict of interest during her husband's tenure as a senator.
The structure of a concept hierarchy is also defined by implications A → B between attribute sets (for several examples of this connection see Results and discussion).
