to figure out something by reasoning
понять что-то, рассуждая логически (ponyat shto-to rassuzhdaya logicheski)
"He put two and two together and realized she was lying."
"Он сопоставил факты и понял, что она лгала." (on sopostavil fakty i ponyal chto ona lgala)
to remain loyal to your values, even in difficult situations
taking advantage of a current trend or success
to be in control of a situation
to work hard and continuously
to release someone from blame or punishment
to repair a relationship