to officially approve a trade deal or document
商取引または書類を正式に承認する (shōtoriki mata wa shorui o seishiki ni shōnin suru)
"Both leaders signed off on an agreement to strengthen bilateral trade."
"両国の指導者は、二国間貿易を強化するために合意にサインした。" (Ryōkoku no shidōsha wa, nikokukan bōeki o kyōka suru tame ni **gōi ni sain shita**.)
to overcome emotional hurt and continue to grow
to increase production capacity significantly
to end up in a particular situation unexpectedly
to begin increasing again after a slowdown
to continue progressing with clear goals and motivation
to find a software workaround for a problem
