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She was adamant in her refusal, and on the way to be tied up, she attempted suicide several times—though it was really more of a threat to the Liao Family people. The Li Family became worried that if she really died, they would gain nothing from her. That's when Liao Zhaoji took the chance to say that she should be given an opportunity to plead with the Ruan Family. Having borne three sons for the Ruan Family, Ruan Jiandang certainly wouldn't stand by and watch her die; he would surely pony up the same amount of money to save her.
In fact, the Li Family was also reluctant to sell her because that would mean this business deal would end all future profits from her. After pondering it over, they agreed.
She knew her own daughter well, as long as she could re-enter the Ruan Family, she would find a way to coax her back again in the future!
Once coaxed back, there would be a steady flow of money again, which was far more profitable than just one-off deals.