敢行 かんこう
kankō

Noun
Suru Verb

1. decisive action; going through with; daring to do; carrying out

Transitive
まい家出 いえで敢行 かんこうする、直前 ちょくぜんのことだろう。
maiga iedeo kankō suru chokuzenno kotodarō.
That was probably just before Mai took the drastic step of leaving home.