Refugees should first and foremost be settled in the nearest possible countries with populations that are similar culturally. If refugees don't have to learn a new language completely from scratch, that's a huge benefit. If refugees don't have a different religion (or follow a different branch of the same religion), they are less likely to stand out as a separate group from the rest of the population a few generations later - they might even have completely assimilated within, say, 10 generations.
This is best for everyone. The descendants of the refugees don't have to live in a country where they are stigmatised and discriminated against, and the majority population of the countries where these refugees did not settle do not have to worry about hostile individuals among the descendants of the original refugees, nor general friction between the two groups. When the refugees settle closer to their home country, it is also easier to move back home when it is safe, or, if they don't, visit relatives and friends who still/now live there.
Of course Lebanon shouldn't have to take all the refugees themselves, so look at the map for Arab and/or Muslim countries relatively close, and you'll find a very long list of countries that can take their share (both in Africa and Western and Central Asia).
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