they know, either via manifest (as mentioned below) or when they swipe your passport. Once you re-enter, your GC usually gets swiped.
If you have the intention to eventually naturalize in 3/5yrs, consider creating a word/excel file to log your travel abroad dates (date left/reentered, countries visited). It can save you lots of guessing games when you file; I did this for our GC travels. Especially useful for our trips across the land boarder to Canada where our PP never gets stamped.
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