IF your chain is sized too long, it'll have less tension.
Shift to BIG:BIG and do the test in the pic.
IF you have more than 2 link SETS, your chain can be shortened.
A Tourney RDER & 7 speed "should" be nearly bullet proof until it wears out.
A RDER for a 9 speed is going to have a narrower cage and be a bit more finicky with the wider 7 speed chain.
I wouldn't "upgrade" beyond an 8 speed RDER for a 7 speed bike.