Dissolve only the smaller features among the larger ones

Question

I want to dissolve features smaller than 1 ha among those larger than 1 ha. For example, if I have 2 features > 1ha and 1 feature < 1 ha, at the end of this process I would like to have 1 original feature and a new one that was the smaller one dissolved into the larger one (it could be dissolved due to proximity). I couldn't find a way to just use QGIS's native dissolve.

Below is a small example. It's not possible to do it manually because I have thousands of features.

Answer 1

You can Select the polygons with: $area<10000 and Eliminate selected polygons:

Combines selected polygons of the input layer with certain adjacent polygons by erasing their common boundary. The adjacent polygon can be either the one with the largest or smallest area or the one sharing the largest common boundary with the polygon to be eliminated.

Answer 2

Select only the features with area > 1ha first and then run the dissolve command on only the selected features.