Line a medium plate with parchment. Place the banana slices on the prepared plate in a single layer, making sure they are not overlapping. Freeze the bananas until hard and completely frozen, 30 to 45 minutes.
Add the frozen bananas, pineapple and orange juice concentrate to a food processor and process until smooth, scraping down the sides of the bowl with a rubber spatula as needed. Transfer to an airtight container and freeze until scoopable, about 1 hour. The sorbet will keep for up to 2 months.
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