Take another look at the sentence:

Sparkling with jewelry conned from ex-boyfriends, Sylvia keeps an eye out for new victims with fat wallets, she still needs a pair of diamond earrings to complement a necklace that she managed to coerce Ricardo into buying.

No problem occurs between earrings and to. She still needs a pair of diamond earrings is a main clause. To complement a necklace is an infinitive phrase. An infinitive phrase will begin with an infinitive like to complement. When an infinitive phrase follows a main clause, you do not need to separate the two parts with any punctuation.

Go back to the sentence to try again.

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