Multiple sentences in reported speech

I am currently translating a report from a meeting in which several people express their ideas. In the original text everything they say is supposed to be in reported speech (e.g. She expressed, he said that, he remarked that etc.) But the problem is that those people uttered several sentences. In the original text only their first sentences are inroduced by "he said" and the rest of them just stays as it is. Also, none of them is backshifted because there is no backshift in the language I am translating from. How do I write it in English? Do I introduce every consecutive sentence with various forms of "he said" and backshift, or do I leave the rest of the sentences as they are without any backshift, or do I backshift the rest of the sentences anyway, but without introducing "he said" at the beginning of each of them? Please, help, for I am in a pickle. Let me quote an example:

X expressed her belief that a path with stones commemorating some of the victims of X was important, but only names and surnames of a small part of those murdered there should be mentioned. X's duty is to give voice also to those whose families did not survive or those whose names are unknown.

What do I do with the second sentence?