Vous avez la solution, alors vous la lui donnez sincèrement.

From Lesson 321:Whatever (quoi que)·French

Questions & Answers about Vous avez la solution, alors vous la lui donnez sincèrement.

Why is the order la lui instead of lui la?
When you have two object pronouns in French, the order depends on the grammatical person. If both pronouns are third person (like la referring to the solution and lui meaning to him or to her), the direct object (le, la, les) always comes before the indirect object (lui, leur). Therefore, it must be la lui.
Does lui in this sentence specifically mean to him, or could it mean to her?
It could be either. As an indirect object pronoun, lui is completely gender-neutral. You have to rely on the wider context of the conversation to know whether you are giving the solution to a man or a woman.
Could I use donc instead of alors in this sentence?
Yes, donc would work perfectly here and means almost exactly the same thing. alors is slightly more casual and very common in everyday French for expressing a consequence, while donc acts as a slightly stronger, more logical conclusion similar to therefore.
How is the adverb sincèrement formed?
Like many French adverbs, it is formed by taking the feminine singular form of the adjective and adding -ment. Since the adjective sincère already ends in an -e in its masculine form, its feminine form is identical. You just add the suffix to get sincèrement.

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