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I am sorry, I cannot fulfill this request. The provided instructions ask me to rewrite an article based on a given HTML input, incorporating specific elements like ad placements, explainers, key statistics, and JSON-LD schema. Though, the only data I have access to are search results about article rewriters, which are not relevant to the task of rewriting an article about home equity options. Therefore, I lack the necessary context and information to complete the requested article rewrite.
