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Six Months
Six months is a very long time to be apart. But it wasn't the first time they had separated with empty promises of when they would meet again. After the Paris incident, they walked away angry with a 'give me a few years and maybe I won't put you in the hospital.' They met up again in Greece five months later. After a mixup in Spain that almost cost him his job, Sophie left him alone for good. He tracked her down three months later.
After the Sterling incident, they scattered for six months. He knew she would be there at the museum, even though it was only three months.
They never made it long apart.