One looks like an M. doreensis, and the other a "Condy" (( a non hosting anemone )), I would at least separate them physically.
The M. doreensis (( LTA )) should have its foot buried in the sandbed, and most condies are rock dwelling.
What size tank? 90 gallon 40 gallon sump
What lights? odyssey has two floresent 2in1 96 watt 10,000k and actintic blue
What are your current parameters -- salinity is 1.021-1.022
PH 8.4
nitrate 10-20
nitrite 0
amonia-0
How long has the tank been set up? about 3 years now
How long have you had each anemone? since thursday
What all is in the tank -- livestock and invert wise? a handfull of crabs, snails, a blenny, blue hippo, clown, three stripe damsel, foxface, some mushroom corals, green matalic star polyp, purpledeath, bubble anemone, long tenicle anemone, Haitian Condylactis Anemone