This is the rule:
There was a West Virginia case where a man abducted his girlfriend from her workplace in West Virginia and transported her to Ohio where he raped her. West Virginia ruled it had jurisdiction to prosecute the rape (clearly it had jurisdiction for kidnapping) because a substantial amount of an element of the crime: fear or forcible compulsion, occurred in the State of West Virginia.
As far as a law against eyebrow plucking, it would be difficult for a state to argue that out of state eyebrow plucking was both intended to produce and actually produces “detrimental effects” within the state. Even if it were to argue that eyebrow plucking was against the public health, morals, and decency or that eyebrow plucking parlors invited crime and debauchery, these effects would be borne by the state that has made it legal.
For the same reason, conspiracy to commit eyebrow plucking would not work as well. The root of conspiracy is an agreement to commit a crime against the state. As eyebrow plucking in State B is not a crime against State A, State A could not allege that anyone conspired to commit a crime against it.