Using an array to create a list of selected items

[Harribone]

Hi,

I've created a range B3:B12 in which each cell returns TRUE of FALSE. There corresponding values are listed in C3:C12. I have the same thing again in D3:D12 and E3:E12.
Checkboxes link to the TRUE/FALSE cells. Attached is a stripped down file to show this.

I want to create a formula that lists each item in the one cell (no spaces required inbetween) for use with a search. I know a long winded way to do this involving many IFs but any array will be much more tidier, thing is I hardly use arrays and have struggled with this one.

I'm thinking it will be along the lines of =IF(B3:B12="TRUE",C3:C12,"")&IF(D3:D12="TRUE",E3:E12,"") but exactly what it should be is beyond me.

As always your help is much appriciated.

EDIT: The original file attached was corrupt for some reason, the new attachedment is the same except instead of TRUE/FALSE cells I've set them to 'x' for quickness (lost my work...!).

ItemsList.xlsx