忙しさに紛れて、ごぶさたしておりました。

busy; hectic; occupied; engaged

at (place, time); in; on; during; to (direction, state); toward; into; for (purpose); because of (reason); for; with; by; from; as (i.e. in the role of); per; in; for; a (e.g. "once a month"); and; in addition to; if; although

to disappear into; to be lost in; to slip into; to get mixed in among; to do something under the cover of (confusion, etc.); to be almost indistinguishable; to be confusingly similar; to be diverted from (negative emotions, etc.); to forget about; to be distracted by; to be too absorbed in

not writing or contacting for a while; neglecting (failing) to write (call, visit, etc.); long silence