LSE doesn't offer economics and history, only economics and economic history. The economic history department is a separate department from the history department at LSE, offering separate modules and degree programmes.
In any event they state the following:
"GCSEs
A strong set of GCSE grades including the majority at A (or 7) and A* (or 8-9)
GCSE (or equivalent) English Language and Mathematics grades should be no lower than B (or 6)
We also consider your overall GCSE subject profile"
You sort of meet that requirement although yours are probably on the weaker end of it, but there's no reason you wouldn't be considered I should imagine.
They may prefer to see FM as well at A-level.