DESeq2 Large Log2FoldChanges but padj>0.1

Hello!

I want to kindly ask a question regarding DESeq2. I am getting large log2fold changes (absolute log2fold changes greater than 0.5), but the padj values are not significant (padj>0.05). However, some genes in my data have low log2fold changes (absolute log2fold changes lower than 0.5), but the padj values are significant (padj<0.05).

Does this make sense? Can someone please explain to me how this works?