Have I correctly used 'unlikely to' and 'they reject as' in the sentence?
In my home city, there are blue-collar workers who nurse hatred against their employers due to the frequent delays in the payment of their salaries. What is worse is that their families are likely to turn against their employers, whose explanations they reject as unworthy of belief.
Yes to both.
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You haven't used 'unlikely to'.
Blue-collar workers, usually speak of their wages or their pay. but not of their salaries.