to make progress in the direction of something
何かに向かって進む (nanika ni mukatte susumu)
"The company is moving towards a more sustainable model."
"その会社はより持続可能なモデルに向かって進んでいます。" (sono kaisha wa yori jizoku kanou na moderu ni mukatte susunde imasu)
to gradually stop staying up very late
to tend to support or prefer one suggestion over another
to suddenly develop something on the skin (like a rash)
to continue progressing or making progress with something
to prevent someone from being included in a conversation or...
to contact an organization in writing regarding something