advances — personal overtures made in an attempt to become friendly, gain a favour, etc
doubles — twice as large, heavy, strong, etc.; twofold in size, amount, number, extent, etc.: a double portion; a new house double the size of the old one.
annexes — to attach, append, or add, especially to something larger or more important.
progresses — a movement toward a goal or to a further or higher stage: the progress of a student toward a degree.