Why does the Catholic Church say that the plan of salvation includes Muslims?

From [*Lumen Gentium*](https://www.vatican.va/archive/hist_councils/ii_vatican_council/documents/vat-ii_const_19641121_lumen-gentium_en.html) chapter II, paragraph 16: > (126) But the plan of salvation also includes those who acknowledge the Creator. In the first place amongst these there are the Muslims, who, professing to hold the faith of Abraham, along with us adore the one and merciful God, who on the last day will judge mankind. I find this really confusing on two levels. Firstly, this seems to imply that Muslims worship the same God as the Christian God; secondly, perhaps a corollary of the first point, it suggests that Muslims are also given salvation. What does the Vatican actually mean by this?