In February 1995 Arvaluk resigned his seat in the NWT Legislative Assembly after being charged with sexual assault.
On June 20, 2003 he resigned his seat after being convicted of assault causing bodily harm against his girlfriend in August 2000, for which he served nine months.
[2][3] Had he not resigned, the Legislative Assembly was prepared to meet in an emergency session and pass a motion forcing him to leave.
At the October 16, 2006 by-election, Arvaluk was elected to the Legislative Assembly representing the Tununiq electoral district.
After suffering both a heart attack and a stroke in 2010, he resigned his post on May 16, 2011, citing health reasons.