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stick to someone or something
1. Lit. to adhere to; to remain affixed to
2. Fig. to continue to accompany
3. Fig. to continue to use or employ
stick with someone or something
See:
stick by someone or something -
1. to support
2. to continue supporting even when things are bad.
Spears, American Idioms and Phrasal Verbs
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I strongly suggest you buy this book. Unfortunately, I don't have time to type in here all the associated examples.