Clearly this casts doubt on the original argument. We have not deduced the second law. What that argument actually showed was that for a given low-entropy state (say for a gas tucked in a corner of a box), then, in the absence of any other factors constraining the system, the entropy would be expected to increase in both directions in time away from the given state (see Fig. 7.6). The argument has not worked in the past direction in time precisely because there were such factors. There was indeed something constraining the system in the past. Something forced the entropy to be low in the past.
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