EXIT
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The method

Foundation

Do not order the sentences. Find the pairs that must sit together, then order the pairs.

A four-sentence jumble has twenty-four possible orders and a five-sentence one has a hundred and twenty. Fixing a single mandatory pair removes most of them at once, which is why the pair is what you look for.

Find every sentence that cannot open, pair what is left, and check the options.

pairs first, sequence second

Read the sentences and arrange them by sense from the first to the last.

four sentences have twenty-four orders

Where it bites

Where no pair is obvious. Then look for the sentence that cannot be first, which eliminates options just as fast.