Suspicious people have been hunting out houses that have collapsed from the earthquake and pillaging through them for valuables.
この場合、次のような言い方ができます。
例:
Suspicious people have been hunting out houses that have collapsed from the earthquake and pillaging through them for valuables, so it's best not to return to your home for your own safety.
「不審者が地震で倒壊した家を物色し、貴重品を略奪しているので、身の安全のため家に戻らないほうが良い」
suspicious people have been hunting out houses that have collapsed で「不審者が倒壊した家を物色している」と言えます。
to pillage で「略奪する」
ご参考まで!