Explore a Klarner-Rado sequence One of the Klarner-Rado sequences is defined as follows:

the first term is \$1\$
for all subsequent terms, the following rule applies: if \$x\$ is present, so are \$2x+1\$ and \$3x+1\$
the sequence is strictly increasing

This is A002977.
The first few terms are:
1, 3, 4, 7, 9, 10, 13, 15, 19, 21, 22, 27, ...

(\$3\$ is present because it's \$2\times1+1\$, \$4\$ is present because it's \$3\times1+1\$, \$7\$ is present because it's \$2\times3+1\$, etc.)
Your task
Given \$n\$, you must return the \$n\$th element of the sequence. You may use either 0-based or 1-based indexing. (Please specify your choice in your answer.)
0-indexed example:
input = 10
output = 22

Let's see who can get less bytes...
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