Livingstone

Livingstone (リヴィングストン) is a seinen manga written by Tomohiro Maekawa and illustrated by Jinsei Kataoka. It ran in the Morning manga magazine from July 30, 2009 to February 5, 2015. It is complete in four volumes. Kodansha Comics has licensed it for release in English.

Plot
Ninety percent of our lives are determined by our fate, and our fates are determined by our "souls." But every now and then, something goes wrong and the souls of those who have met an untimely fate also pollute their environs, drawing more souls into a vicious circle of ill fate. Sakurai and Amano are an odd-couple team who have been hired to deal with the problems that arise from these tainted souls and have been tasked with finding those who are heading to an early grave to either prevent them from dying or collect their livingstones before they do further damage.

Official
Official English site